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Finding the Fourth Proportional to 412,200.60, 618,337.80 and 112,682.75

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Solution

The fourth proportional to 412,200.60, 618,337.80 and 112,682.75 is: 169,034.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,200.60 : 618,337.80 = 112,682.75 : x
  2. Step 2: Convert to fraction form
    412,200.60/618,337.80 = 112,682.75/x
  3. Step 3: Cross multiply
    412,200.60x = 618,337.80 × 112,682.75
  4. Step 4: Simplify right side
    412,200.60x = 69,676,000,641.26
  5. Step 5: Solve for x
    x = 69,676,000,641.26/412,200.60
  6. Step 6: Final answer
    x = 169,034.21

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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.