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Finding the Fourth Proportional to 398,639,098.80, 597,958,648.20 and 360,375,346.80

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Solution

The fourth proportional to 398,639,098.80, 597,958,648.20 and 360,375,346.80 is: 540,563,020.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,639,098.80 : 597,958,648.20 = 360,375,346.80 : x
  2. Step 2: Convert to fraction form
    398,639,098.80/597,958,648.20 = 360,375,346.80/x
  3. Step 3: Cross multiply
    398,639,098.80x = 597,958,648.20 × 360,375,346.80
  4. Step 4: Simplify right side
    398,639,098.80x = 215,489,555,217,134,208
  5. Step 5: Solve for x
    x = 215,489,555,217,134,208/398,639,098.80
  6. Step 6: Final answer
    x = 540,563,020.20

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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.