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Finding the Fourth Proportional to 345,001.76, 517,338.78 and 120,334.92

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Solution

The fourth proportional to 345,001.76, 517,338.78 and 120,334.92 is: 180,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,001.76 : 517,338.78 = 120,334.92 : x
  2. Step 2: Convert to fraction form
    345,001.76/517,338.78 = 120,334.92/x
  3. Step 3: Cross multiply
    345,001.76x = 517,338.78 × 120,334.92
  4. Step 4: Simplify right side
    345,001.76x = 62,253,920,704.20
  5. Step 5: Solve for x
    x = 62,253,920,704.20/345,001.76
  6. Step 6: Final answer
    x = 180,445.23

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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.