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Finding the Fourth Proportional to 412,287.60, 618,258.60 and 131,729.52

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Solution

The fourth proportional to 412,287.60, 618,258.60 and 131,729.52 is: 197,539.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,287.60 : 618,258.60 = 131,729.52 : x
  2. Step 2: Convert to fraction form
    412,287.60/618,258.60 = 131,729.52/x
  3. Step 3: Cross multiply
    412,287.60x = 618,258.60 × 131,729.52
  4. Step 4: Simplify right side
    412,287.60x = 81,442,908,613.87
  5. Step 5: Solve for x
    x = 81,442,908,613.87/412,287.60
  6. Step 6: Final answer
    x = 197,539.07

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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.