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Finding the Fourth Proportional to 316,868.42, 475,508.88 and 137,129.15

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Solution

The fourth proportional to 316,868.42, 475,508.88 and 137,129.15 is: 205,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,868.42 : 475,508.88 = 137,129.15 : x
  2. Step 2: Convert to fraction form
    316,868.42/475,508.88 = 137,129.15/x
  3. Step 3: Cross multiply
    316,868.42x = 475,508.88 × 137,129.15
  4. Step 4: Simplify right side
    316,868.42x = 65,206,129,720.62
  5. Step 5: Solve for x
    x = 65,206,129,720.62/316,868.42
  6. Step 6: Final answer
    x = 205,782.98

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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.