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Finding the Fourth Proportional to 343,805.10, 515,704.77 and 133,591.02

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Solution

The fourth proportional to 343,805.10, 515,704.77 and 133,591.02 is: 200,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,805.10 : 515,704.77 = 133,591.02 : x
  2. Step 2: Convert to fraction form
    343,805.10/515,704.77 = 133,591.02/x
  3. Step 3: Cross multiply
    343,805.10x = 515,704.77 × 133,591.02
  4. Step 4: Simplify right side
    343,805.10x = 68,893,526,243.17
  5. Step 5: Solve for x
    x = 68,893,526,243.17/343,805.10
  6. Step 6: Final answer
    x = 200,385.41

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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.