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Finding the Fourth Proportional to 408,085.20, 612,127.80 and 381,646.80

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Solution

The fourth proportional to 408,085.20, 612,127.80 and 381,646.80 is: 572,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,085.20 : 612,127.80 = 381,646.80 : x
  2. Step 2: Convert to fraction form
    408,085.20/612,127.80 = 381,646.80/x
  3. Step 3: Cross multiply
    408,085.20x = 612,127.80 × 381,646.80
  4. Step 4: Simplify right side
    408,085.20x = 233,616,616,061.04
  5. Step 5: Solve for x
    x = 233,616,616,061.04/408,085.20
  6. Step 6: Final answer
    x = 572,470.20

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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.