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Finding the Fourth Proportional to 317,077.28, 475,081.02 and 156,939.68

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Solution

The fourth proportional to 317,077.28, 475,081.02 and 156,939.68 is: 235,144.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,077.28 : 475,081.02 = 156,939.68 : x
  2. Step 2: Convert to fraction form
    317,077.28/475,081.02 = 156,939.68/x
  3. Step 3: Cross multiply
    317,077.28x = 475,081.02 × 156,939.68
  4. Step 4: Simplify right side
    317,077.28x = 74,559,063,252.87
  5. Step 5: Solve for x
    x = 74,559,063,252.87/317,077.28
  6. Step 6: Final answer
    x = 235,144.77

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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.