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Finding the Fourth Proportional to 408,490,721.20, 612,364,073.10 and 149,643,524.80

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Solution

The fourth proportional to 408,490,721.20, 612,364,073.10 and 149,643,524.80 is: 224,329,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,490,721.20 : 612,364,073.10 = 149,643,524.80 : x
  2. Step 2: Convert to fraction form
    408,490,721.20/612,364,073.10 = 149,643,524.80/x
  3. Step 3: Cross multiply
    408,490,721.20x = 612,364,073.10 × 149,643,524.80
  4. Step 4: Simplify right side
    408,490,721.20x = 91,636,318,359,568,880
  5. Step 5: Solve for x
    x = 91,636,318,359,568,880/408,490,721.20
  6. Step 6: Final answer
    x = 224,329,008.23

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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.