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Finding the Fourth Proportional to 285,565.43, 428,349.09 and 72,333.27

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Solution

The fourth proportional to 285,565.43, 428,349.09 and 72,333.27 is: 108,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,565.43 : 428,349.09 = 72,333.27 : x
  2. Step 2: Convert to fraction form
    285,565.43/428,349.09 = 72,333.27/x
  3. Step 3: Cross multiply
    285,565.43x = 428,349.09 × 72,333.27
  4. Step 4: Simplify right side
    285,565.43x = 30,983,890,381.22
  5. Step 5: Solve for x
    x = 30,983,890,381.22/285,565.43
  6. Step 6: Final answer
    x = 108,500.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.