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Finding the Fourth Proportional to 318,868.98, 478,331 and 82,209.66

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Solution

The fourth proportional to 318,868.98, 478,331 and 82,209.66 is: 123,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,868.98 : 478,331 = 82,209.66 : x
  2. Step 2: Convert to fraction form
    318,868.98/478,331 = 82,209.66/x
  3. Step 3: Cross multiply
    318,868.98x = 478,331 × 82,209.66
  4. Step 4: Simplify right side
    318,868.98x = 39,323,428,877.46
  5. Step 5: Solve for x
    x = 39,323,428,877.46/318,868.98
  6. Step 6: Final answer
    x = 123,321.59

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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.