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Finding the Fourth Proportional to 502,398.65, 693,269.92 and 287,489.45

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Solution

The fourth proportional to 502,398.65, 693,269.92 and 287,489.45 is: 396,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,398.65 : 693,269.92 = 287,489.45 : x
  2. Step 2: Convert to fraction form
    502,398.65/693,269.92 = 287,489.45/x
  3. Step 3: Cross multiply
    502,398.65x = 693,269.92 × 287,489.45
  4. Step 4: Simplify right side
    502,398.65x = 199,307,790,094.88
  5. Step 5: Solve for x
    x = 199,307,790,094.88/502,398.65
  6. Step 6: Final answer
    x = 396,712.43

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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.