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Finding the Fourth Proportional to 412,640.01, 618,755.90 and 146,360.61

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Solution

The fourth proportional to 412,640.01, 618,755.90 and 146,360.61 is: 219,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,640.01 : 618,755.90 = 146,360.61 : x
  2. Step 2: Convert to fraction form
    412,640.01/618,755.90 = 146,360.61/x
  3. Step 3: Cross multiply
    412,640.01x = 618,755.90 × 146,360.61
  4. Step 4: Simplify right side
    412,640.01x = 90,561,490,233.30
  5. Step 5: Solve for x
    x = 90,561,490,233.30/412,640.01
  6. Step 6: Final answer
    x = 219,468.52

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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.