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Finding the Fourth Proportional to 347,098.80, 520,259.40 and 147,385.20

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Solution

The fourth proportional to 347,098.80, 520,259.40 and 147,385.20 is: 220,912.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,098.80 : 520,259.40 = 147,385.20 : x
  2. Step 2: Convert to fraction form
    347,098.80/520,259.40 = 147,385.20/x
  3. Step 3: Cross multiply
    347,098.80x = 520,259.40 × 147,385.20
  4. Step 4: Simplify right side
    347,098.80x = 76,678,535,720.88
  5. Step 5: Solve for x
    x = 76,678,535,720.88/347,098.80
  6. Step 6: Final answer
    x = 220,912.71

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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.