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Finding the Fourth Proportional to 1,237,642,138.68, 1,707,978,456.90 and 680,739,799.56

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Solution

The fourth proportional to 1,237,642,138.68, 1,707,978,456.90 and 680,739,799.56 is: 939,438,692.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237,642,138.68 : 1,707,978,456.90 = 680,739,799.56 : x
  2. Step 2: Convert to fraction form
    1,237,642,138.68/1,707,978,456.90 = 680,739,799.56/x
  3. Step 3: Cross multiply
    1,237,642,138.68x = 1,707,978,456.90 × 680,739,799.56
  4. Step 4: Simplify right side
    1,237,642,138.68x = 1,162,688,912,402,904,064
  5. Step 5: Solve for x
    x = 1,162,688,912,402,904,064/1,237,642,138.68
  6. Step 6: Final answer
    x = 939,438,692.39

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.