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Finding the Fourth Proportional to 542,765.18, 748,525.66 and 338,834.95

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Solution

The fourth proportional to 542,765.18, 748,525.66 and 338,834.95 is: 467,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,765.18 : 748,525.66 = 338,834.95 : x
  2. Step 2: Convert to fraction form
    542,765.18/748,525.66 = 338,834.95/x
  3. Step 3: Cross multiply
    542,765.18x = 748,525.66 × 338,834.95
  4. Step 4: Simplify right side
    542,765.18x = 253,626,651,861.42
  5. Step 5: Solve for x
    x = 253,626,651,861.42/542,765.18
  6. Step 6: Final answer
    x = 467,286.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.