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Finding the Fourth Proportional to 321,909.80, 482,864.70 and 156,021.80

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Solution

The fourth proportional to 321,909.80, 482,864.70 and 156,021.80 is: 234,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,909.80 : 482,864.70 = 156,021.80 : x
  2. Step 2: Convert to fraction form
    321,909.80/482,864.70 = 156,021.80/x
  3. Step 3: Cross multiply
    321,909.80x = 482,864.70 × 156,021.80
  4. Step 4: Simplify right side
    321,909.80x = 75,337,419,650.46
  5. Step 5: Solve for x
    x = 75,337,419,650.46/321,909.80
  6. Step 6: Final answer
    x = 234,032.70

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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.