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Finding the Fourth Proportional to 680,036, 938,449.68 and 378,223.52

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Solution

The fourth proportional to 680,036, 938,449.68 and 378,223.52 is: 521,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,036 : 938,449.68 = 378,223.52 : x
  2. Step 2: Convert to fraction form
    680,036/938,449.68 = 378,223.52/x
  3. Step 3: Cross multiply
    680,036x = 938,449.68 × 378,223.52
  4. Step 4: Simplify right side
    680,036x = 354,943,741,312.47
  5. Step 5: Solve for x
    x = 354,943,741,312.47/680,036
  6. Step 6: Final answer
    x = 521,948.46

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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.