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Finding the Fourth Proportional to 318,344.65, 477,517.28 and 78,458.56

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Solution

The fourth proportional to 318,344.65, 477,517.28 and 78,458.56 is: 117,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,344.65 : 477,517.28 = 78,458.56 : x
  2. Step 2: Convert to fraction form
    318,344.65/477,517.28 = 78,458.56/x
  3. Step 3: Cross multiply
    318,344.65x = 477,517.28 × 78,458.56
  4. Step 4: Simplify right side
    318,344.65x = 37,465,316,577.83
  5. Step 5: Solve for x
    x = 37,465,316,577.83/318,344.65
  6. Step 6: Final answer
    x = 117,687.91

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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.