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Finding the Fourth Proportional to 502,400.16, 693,431.28 and 287,663.76

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Solution

The fourth proportional to 502,400.16, 693,431.28 and 287,663.76 is: 397,044.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,400.16 : 693,431.28 = 287,663.76 : x
  2. Step 2: Convert to fraction form
    502,400.16/693,431.28 = 287,663.76/x
  3. Step 3: Cross multiply
    502,400.16x = 693,431.28 × 287,663.76
  4. Step 4: Simplify right side
    502,400.16x = 199,475,049,306.41
  5. Step 5: Solve for x
    x = 199,475,049,306.41/502,400.16
  6. Step 6: Final answer
    x = 397,044.16

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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.