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Finding the Fourth Proportional to 343,714.68, 515,505.24 and 172,890.90

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Solution

The fourth proportional to 343,714.68, 515,505.24 and 172,890.90 is: 259,302.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,714.68 : 515,505.24 = 172,890.90 : x
  2. Step 2: Convert to fraction form
    343,714.68/515,505.24 = 172,890.90/x
  3. Step 3: Cross multiply
    343,714.68x = 515,505.24 × 172,890.90
  4. Step 4: Simplify right side
    343,714.68x = 89,126,164,898.32
  5. Step 5: Solve for x
    x = 89,126,164,898.32/343,714.68
  6. Step 6: Final answer
    x = 259,302.76

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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.