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Finding the Fourth Proportional to 412,259.85, 618,373.60 and 172,311.78

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Solution

The fourth proportional to 412,259.85, 618,373.60 and 172,311.78 is: 258,460.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,259.85 : 618,373.60 = 172,311.78 : x
  2. Step 2: Convert to fraction form
    412,259.85/618,373.60 = 172,311.78/x
  3. Step 3: Cross multiply
    412,259.85x = 618,373.60 × 172,311.78
  4. Step 4: Simplify right side
    412,259.85x = 106,553,057,081.52
  5. Step 5: Solve for x
    x = 106,553,057,081.52/412,259.85
  6. Step 6: Final answer
    x = 258,460.91

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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.