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Finding the Fourth Proportional to 503,542.80, 693,565.35 and 387,033.47

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Solution

The fourth proportional to 503,542.80, 693,565.35 and 387,033.47 is: 533,088.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,542.80 : 693,565.35 = 387,033.47 : x
  2. Step 2: Convert to fraction form
    503,542.80/693,565.35 = 387,033.47/x
  3. Step 3: Cross multiply
    503,542.80x = 693,565.35 × 387,033.47
  4. Step 4: Simplify right side
    503,542.80x = 268,433,000,614.44
  5. Step 5: Solve for x
    x = 268,433,000,614.44/503,542.80
  6. Step 6: Final answer
    x = 533,088.75

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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.