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Finding the Fourth Proportional to 409,993.20, 615,167.40 and 220,232.14

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Solution

The fourth proportional to 409,993.20, 615,167.40 and 220,232.14 is: 330,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,993.20 : 615,167.40 = 220,232.14 : x
  2. Step 2: Convert to fraction form
    409,993.20/615,167.40 = 220,232.14/x
  3. Step 3: Cross multiply
    409,993.20x = 615,167.40 × 220,232.14
  4. Step 4: Simplify right side
    409,993.20x = 135,479,635,089.10
  5. Step 5: Solve for x
    x = 135,479,635,089.10/409,993.20
  6. Step 6: Final answer
    x = 330,443.62

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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.