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Finding the Fourth Proportional to 412,202.60, 618,340.80 and 112,684.74

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Solution

The fourth proportional to 412,202.60, 618,340.80 and 112,684.74 is: 169,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,202.60 : 618,340.80 = 112,684.74 : x
  2. Step 2: Convert to fraction form
    412,202.60/618,340.80 = 112,684.74/x
  3. Step 3: Cross multiply
    412,202.60x = 618,340.80 × 112,684.74
  4. Step 4: Simplify right side
    412,202.60x = 69,677,572,279.39
  5. Step 5: Solve for x
    x = 69,677,572,279.39/412,202.60
  6. Step 6: Final answer
    x = 169,037.20

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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.