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Finding the Fourth Proportional to 398,102,407.20, 597,153,610.80 and 225,915,523.20

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Solution

The fourth proportional to 398,102,407.20, 597,153,610.80 and 225,915,523.20 is: 338,873,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,102,407.20 : 597,153,610.80 = 225,915,523.20 : x
  2. Step 2: Convert to fraction form
    398,102,407.20/597,153,610.80 = 225,915,523.20/x
  3. Step 3: Cross multiply
    398,102,407.20x = 597,153,610.80 × 225,915,523.20
  4. Step 4: Simplify right side
    398,102,407.20x = 134,906,270,414,651,152
  5. Step 5: Solve for x
    x = 134,906,270,414,651,152/398,102,407.20
  6. Step 6: Final answer
    x = 338,873,284.80

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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.