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Finding the Fourth Proportional to 502,397.70, 693,268.65 and 287,488.50

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Solution

The fourth proportional to 502,397.70, 693,268.65 and 287,488.50 is: 396,711.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,397.70 : 693,268.65 = 287,488.50 : x
  2. Step 2: Convert to fraction form
    502,397.70/693,268.65 = 287,488.50/x
  3. Step 3: Cross multiply
    502,397.70x = 693,268.65 × 287,488.50
  4. Step 4: Simplify right side
    502,397.70x = 199,306,764,285.53
  5. Step 5: Solve for x
    x = 199,306,764,285.53/502,397.70
  6. Step 6: Final answer
    x = 396,711.14

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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.