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Finding the Fourth Proportional to 288,773.30, 433,221.72 and 86,385.29

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Solution

The fourth proportional to 288,773.30, 433,221.72 and 86,385.29 is: 129,596.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,773.30 : 433,221.72 = 86,385.29 : x
  2. Step 2: Convert to fraction form
    288,773.30/433,221.72 = 86,385.29/x
  3. Step 3: Cross multiply
    288,773.30x = 433,221.72 × 86,385.29
  4. Step 4: Simplify right side
    288,773.30x = 37,423,981,426.45
  5. Step 5: Solve for x
    x = 37,423,981,426.45/288,773.30
  6. Step 6: Final answer
    x = 129,596.40

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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.