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Finding the Fourth Proportional to 347,711.20, 521,761.20 and 147,997.60

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Solution

The fourth proportional to 347,711.20, 521,761.20 and 147,997.60 is: 222,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,711.20 : 521,761.20 = 147,997.60 : x
  2. Step 2: Convert to fraction form
    347,711.20/521,761.20 = 147,997.60/x
  3. Step 3: Cross multiply
    347,711.20x = 521,761.20 × 147,997.60
  4. Step 4: Simplify right side
    347,711.20x = 77,219,405,373.12
  5. Step 5: Solve for x
    x = 77,219,405,373.12/347,711.20
  6. Step 6: Final answer
    x = 222,079.14

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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.