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Finding the Fourth Proportional to 398,672,359.20, 598,008,538.80 and 398,672,359.20

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Solution

The fourth proportional to 398,672,359.20, 598,008,538.80 and 398,672,359.20 is: 598,008,538.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,672,359.20 : 598,008,538.80 = 398,672,359.20 : x
  2. Step 2: Convert to fraction form
    398,672,359.20/598,008,538.80 = 398,672,359.20/x
  3. Step 3: Cross multiply
    398,672,359.20x = 598,008,538.80 × 398,672,359.20
  4. Step 4: Simplify right side
    398,672,359.20x = 238,409,474,985,140,704
  5. Step 5: Solve for x
    x = 238,409,474,985,140,704/398,672,359.20
  6. Step 6: Final answer
    x = 598,008,538.80

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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.