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Finding the Fourth Proportional to 398,649,801.60, 597,330,849.60 and 225,612,028.80

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Solution

The fourth proportional to 398,649,801.60, 597,330,849.60 and 225,612,028.80 is: 338,053,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,649,801.60 : 597,330,849.60 = 225,612,028.80 : x
  2. Step 2: Convert to fraction form
    398,649,801.60/597,330,849.60 = 225,612,028.80/x
  3. Step 3: Cross multiply
    398,649,801.60x = 597,330,849.60 × 225,612,028.80
  4. Step 4: Simplify right side
    398,649,801.60x = 134,765,024,843,083,680
  5. Step 5: Solve for x
    x = 134,765,024,843,083,680/398,649,801.60
  6. Step 6: Final answer
    x = 338,053,660.89

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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.