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Finding the Fourth Proportional to 230,919,859.20, 318,414,034.08 and 147,155,296.80

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Solution

The fourth proportional to 230,919,859.20, 318,414,034.08 and 147,155,296.80 is: 202,911,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,919,859.20 : 318,414,034.08 = 147,155,296.80 : x
  2. Step 2: Convert to fraction form
    230,919,859.20/318,414,034.08 = 147,155,296.80/x
  3. Step 3: Cross multiply
    230,919,859.20x = 318,414,034.08 × 147,155,296.80
  4. Step 4: Simplify right side
    230,919,859.20x = 46,856,311,690,327,720
  5. Step 5: Solve for x
    x = 46,856,311,690,327,720/230,919,859.20
  6. Step 6: Final answer
    x = 202,911,572.23

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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.