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Finding the Fourth Proportional to 502,463.10, 693,518.28 and 287,726.42

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Solution

The fourth proportional to 502,463.10, 693,518.28 and 287,726.42 is: 397,130.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,463.10 : 693,518.28 = 287,726.42 : x
  2. Step 2: Convert to fraction form
    502,463.10/693,518.28 = 287,726.42/x
  3. Step 3: Cross multiply
    502,463.10x = 693,518.28 × 287,726.42
  4. Step 4: Simplify right side
    502,463.10x = 199,543,531,908.96
  5. Step 5: Solve for x
    x = 199,543,531,908.96/502,463.10
  6. Step 6: Final answer
    x = 397,130.72

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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.