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Finding the Fourth Proportional to 410,387.20, 615,452.80 and 161,145.60

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Solution

The fourth proportional to 410,387.20, 615,452.80 and 161,145.60 is: 241,668.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,387.20 : 615,452.80 = 161,145.60 : x
  2. Step 2: Convert to fraction form
    410,387.20/615,452.80 = 161,145.60/x
  3. Step 3: Cross multiply
    410,387.20x = 615,452.80 × 161,145.60
  4. Step 4: Simplify right side
    410,387.20x = 99,177,510,727.68
  5. Step 5: Solve for x
    x = 99,177,510,727.68/410,387.20
  6. Step 6: Final answer
    x = 241,668.14

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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.