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Finding the Fourth Proportional to 538,282,348.80, 807,801,436.80 and 231,794,419.20

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Solution

The fourth proportional to 538,282,348.80, 807,801,436.80 and 231,794,419.20 is: 347,854,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,282,348.80 : 807,801,436.80 = 231,794,419.20 : x
  2. Step 2: Convert to fraction form
    538,282,348.80/807,801,436.80 = 231,794,419.20/x
  3. Step 3: Cross multiply
    538,282,348.80x = 807,801,436.80 × 231,794,419.20
  4. Step 4: Simplify right side
    538,282,348.80x = 187,243,864,871,981,472
  5. Step 5: Solve for x
    x = 187,243,864,871,981,472/538,282,348.80
  6. Step 6: Final answer
    x = 347,854,365.44

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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.