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Finding the Fourth Proportional to 461,334.30, 691,871.85 and 145,887.90

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Solution

The fourth proportional to 461,334.30, 691,871.85 and 145,887.90 is: 218,790.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,334.30 : 691,871.85 = 145,887.90 : x
  2. Step 2: Convert to fraction form
    461,334.30/691,871.85 = 145,887.90/x
  3. Step 3: Cross multiply
    461,334.30x = 691,871.85 × 145,887.90
  4. Step 4: Simplify right side
    461,334.30x = 100,935,731,265.62
  5. Step 5: Solve for x
    x = 100,935,731,265.62/461,334.30
  6. Step 6: Final answer
    x = 218,790.87

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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.