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Finding the Fourth Proportional to 484,589.76, 726,988.20 and 147,657.30

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Solution

The fourth proportional to 484,589.76, 726,988.20 and 147,657.30 is: 221,517.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,589.76 : 726,988.20 = 147,657.30 : x
  2. Step 2: Convert to fraction form
    484,589.76/726,988.20 = 147,657.30/x
  3. Step 3: Cross multiply
    484,589.76x = 726,988.20 × 147,657.30
  4. Step 4: Simplify right side
    484,589.76x = 107,345,114,743.86
  5. Step 5: Solve for x
    x = 107,345,114,743.86/484,589.76
  6. Step 6: Final answer
    x = 221,517.51

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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.