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Finding the Fourth Proportional to 343,318.70, 515,123.85 and 165,734.30

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Solution

The fourth proportional to 343,318.70, 515,123.85 and 165,734.30 is: 248,671.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,318.70 : 515,123.85 = 165,734.30 : x
  2. Step 2: Convert to fraction form
    343,318.70/515,123.85 = 165,734.30/x
  3. Step 3: Cross multiply
    343,318.70x = 515,123.85 × 165,734.30
  4. Step 4: Simplify right side
    343,318.70x = 85,373,690,693.06
  5. Step 5: Solve for x
    x = 85,373,690,693.06/343,318.70
  6. Step 6: Final answer
    x = 248,671.83

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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.