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Finding the Fourth Proportional to 408,121.20, 611,452.80 and 197,294.40

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Solution

The fourth proportional to 408,121.20, 611,452.80 and 197,294.40 is: 295,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,121.20 : 611,452.80 = 197,294.40 : x
  2. Step 2: Convert to fraction form
    408,121.20/611,452.80 = 197,294.40/x
  3. Step 3: Cross multiply
    408,121.20x = 611,452.80 × 197,294.40
  4. Step 4: Simplify right side
    408,121.20x = 120,636,213,304.32
  5. Step 5: Solve for x
    x = 120,636,213,304.32/408,121.20
  6. Step 6: Final answer
    x = 295,589.19

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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.