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Finding the Fourth Proportional to 378,902,227.20, 568,353,340.80 and 256,458,220.80

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Solution

The fourth proportional to 378,902,227.20, 568,353,340.80 and 256,458,220.80 is: 384,687,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,902,227.20 : 568,353,340.80 = 256,458,220.80 : x
  2. Step 2: Convert to fraction form
    378,902,227.20/568,353,340.80 = 256,458,220.80/x
  3. Step 3: Cross multiply
    378,902,227.20x = 568,353,340.80 × 256,458,220.80
  4. Step 4: Simplify right side
    378,902,227.20x = 145,758,886,567,304,032
  5. Step 5: Solve for x
    x = 145,758,886,567,304,032/378,902,227.20
  6. Step 6: Final answer
    x = 384,687,331.20

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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.