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Finding the Fourth Proportional to 317,160.16, 475,377.36 and 129,940

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Solution

The fourth proportional to 317,160.16, 475,377.36 and 129,940 is: 194,761.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,160.16 : 475,377.36 = 129,940 : x
  2. Step 2: Convert to fraction form
    317,160.16/475,377.36 = 129,940/x
  3. Step 3: Cross multiply
    317,160.16x = 475,377.36 × 129,940
  4. Step 4: Simplify right side
    317,160.16x = 61,770,534,158.40
  5. Step 5: Solve for x
    x = 61,770,534,158.40/317,160.16
  6. Step 6: Final answer
    x = 194,761.33

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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.