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Finding the Fourth Proportional to 342,072.30, 512,233.65 and 252,842.70

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Solution

The fourth proportional to 342,072.30, 512,233.65 and 252,842.70 is: 378,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,072.30 : 512,233.65 = 252,842.70 : x
  2. Step 2: Convert to fraction form
    342,072.30/512,233.65 = 252,842.70/x
  3. Step 3: Cross multiply
    342,072.30x = 512,233.65 × 252,842.70
  4. Step 4: Simplify right side
    342,072.30x = 129,514,539,096.86
  5. Step 5: Solve for x
    x = 129,514,539,096.86/342,072.30
  6. Step 6: Final answer
    x = 378,617.44

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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.