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Finding the Fourth Proportional to 398,652,125.80, 597,978,188.70 and 234,721,604.20

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Solution

The fourth proportional to 398,652,125.80, 597,978,188.70 and 234,721,604.20 is: 352,082,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,652,125.80 : 597,978,188.70 = 234,721,604.20 : x
  2. Step 2: Convert to fraction form
    398,652,125.80/597,978,188.70 = 234,721,604.20/x
  3. Step 3: Cross multiply
    398,652,125.80x = 597,978,188.70 × 234,721,604.20
  4. Step 4: Simplify right side
    398,652,125.80x = 140,358,399,728,274,320
  5. Step 5: Solve for x
    x = 140,358,399,728,274,320/398,652,125.80
  6. Step 6: Final answer
    x = 352,082,406.30

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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.