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Finding the Fourth Proportional to 347,717.20, 521,446.20 and 137,311.60

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Solution

The fourth proportional to 347,717.20, 521,446.20 and 137,311.60 is: 205,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,717.20 : 521,446.20 = 137,311.60 : x
  2. Step 2: Convert to fraction form
    347,717.20/521,446.20 = 137,311.60/x
  3. Step 3: Cross multiply
    347,717.20x = 521,446.20 × 137,311.60
  4. Step 4: Simplify right side
    347,717.20x = 71,600,612,035.92
  5. Step 5: Solve for x
    x = 71,600,612,035.92/347,717.20
  6. Step 6: Final answer
    x = 205,916.22

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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.