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Finding the Fourth Proportional to 408,846.40, 564,207.20 and 229,998.40

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Solution

The fourth proportional to 408,846.40, 564,207.20 and 229,998.40 is: 317,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,846.40 : 564,207.20 = 229,998.40 : x
  2. Step 2: Convert to fraction form
    408,846.40/564,207.20 = 229,998.40/x
  3. Step 3: Cross multiply
    408,846.40x = 564,207.20 × 229,998.40
  4. Step 4: Simplify right side
    408,846.40x = 129,766,753,268.48
  5. Step 5: Solve for x
    x = 129,766,753,268.48/408,846.40
  6. Step 6: Final answer
    x = 317,397.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.