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Finding the Fourth Proportional to 538,282,338.80, 807,801,421.80 and 231,794,409.20

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Solution

The fourth proportional to 538,282,338.80, 807,801,421.80 and 231,794,409.20 is: 347,854,350.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,282,338.80 : 807,801,421.80 = 231,794,409.20 : x
  2. Step 2: Convert to fraction form
    538,282,338.80/807,801,421.80 = 231,794,409.20/x
  3. Step 3: Cross multiply
    538,282,338.80x = 807,801,421.80 × 231,794,409.20
  4. Step 4: Simplify right side
    538,282,338.80x = 187,243,853,317,050,976
  5. Step 5: Solve for x
    x = 187,243,853,317,050,976/538,282,338.80
  6. Step 6: Final answer
    x = 347,854,350.44

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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.