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Finding the Fourth Proportional to 306,495.38, 460,021.17 and 156,839.06

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Solution

The fourth proportional to 306,495.38, 460,021.17 and 156,839.06 is: 235,400.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,495.38 : 460,021.17 = 156,839.06 : x
  2. Step 2: Convert to fraction form
    306,495.38/460,021.17 = 156,839.06/x
  3. Step 3: Cross multiply
    306,495.38x = 460,021.17 × 156,839.06
  4. Step 4: Simplify right side
    306,495.38x = 72,149,287,882.90
  5. Step 5: Solve for x
    x = 72,149,287,882.90/306,495.38
  6. Step 6: Final answer
    x = 235,400.90

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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.