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Finding the Fourth Proportional to 520,617.86, 781,000.86 and 160,819.28

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Solution

The fourth proportional to 520,617.86, 781,000.86 and 160,819.28 is: 241,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,617.86 : 781,000.86 = 160,819.28 : x
  2. Step 2: Convert to fraction form
    520,617.86/781,000.86 = 160,819.28/x
  3. Step 3: Cross multiply
    520,617.86x = 781,000.86 × 160,819.28
  4. Step 4: Simplify right side
    520,617.86x = 125,599,995,984.58
  5. Step 5: Solve for x
    x = 125,599,995,984.58/520,617.86
  6. Step 6: Final answer
    x = 241,251.80

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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.