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Finding the Fourth Proportional to 288,614.20, 432,921.30 and 78,251.80

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Solution

The fourth proportional to 288,614.20, 432,921.30 and 78,251.80 is: 117,377.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,614.20 : 432,921.30 = 78,251.80 : x
  2. Step 2: Convert to fraction form
    288,614.20/432,921.30 = 78,251.80/x
  3. Step 3: Cross multiply
    288,614.20x = 432,921.30 × 78,251.80
  4. Step 4: Simplify right side
    288,614.20x = 33,876,870,983.34
  5. Step 5: Solve for x
    x = 33,876,870,983.34/288,614.20
  6. Step 6: Final answer
    x = 117,377.70

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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.