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Finding the Fourth Proportional to 453,753, 680,470.50 and 133,819.86

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Solution

The fourth proportional to 453,753, 680,470.50 and 133,819.86 is: 200,682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,753 : 680,470.50 = 133,819.86 : x
  2. Step 2: Convert to fraction form
    453,753/680,470.50 = 133,819.86/x
  3. Step 3: Cross multiply
    453,753x = 680,470.50 × 133,819.86
  4. Step 4: Simplify right side
    453,753x = 91,060,467,044.13
  5. Step 5: Solve for x
    x = 91,060,467,044.13/453,753
  6. Step 6: Final answer
    x = 200,682.90

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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.