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Finding the Fourth Proportional to 410,565.20, 615,719.80 and 161,323.60

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Solution

The fourth proportional to 410,565.20, 615,719.80 and 161,323.60 is: 241,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,565.20 : 615,719.80 = 161,323.60 : x
  2. Step 2: Convert to fraction form
    410,565.20/615,719.80 = 161,323.60/x
  3. Step 3: Cross multiply
    410,565.20x = 615,719.80 × 161,323.60
  4. Step 4: Simplify right side
    410,565.20x = 99,330,134,727.28
  5. Step 5: Solve for x
    x = 99,330,134,727.28/410,565.20
  6. Step 6: Final answer
    x = 241,935.10

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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.