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Finding the Fourth Proportional to 347,459.76, 521,195.13 and 137,095.86

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Solution

The fourth proportional to 347,459.76, 521,195.13 and 137,095.86 is: 205,645.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,459.76 : 521,195.13 = 137,095.86 : x
  2. Step 2: Convert to fraction form
    347,459.76/521,195.13 = 137,095.86/x
  3. Step 3: Cross multiply
    347,459.76x = 521,195.13 × 137,095.86
  4. Step 4: Simplify right side
    347,459.76x = 71,453,694,575.16
  5. Step 5: Solve for x
    x = 71,453,694,575.16/347,459.76
  6. Step 6: Final answer
    x = 205,645.96

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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.