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Finding the Fourth Proportional to 680,206.38, 938,685.69 and 378,400.38

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Solution

The fourth proportional to 680,206.38, 938,685.69 and 378,400.38 is: 522,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,206.38 : 938,685.69 = 378,400.38 : x
  2. Step 2: Convert to fraction form
    680,206.38/938,685.69 = 378,400.38/x
  3. Step 3: Cross multiply
    680,206.38x = 938,685.69 × 378,400.38
  4. Step 4: Simplify right side
    680,206.38x = 355,199,021,796.56
  5. Step 5: Solve for x
    x = 355,199,021,796.56/680,206.38
  6. Step 6: Final answer
    x = 522,193.02

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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.