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Finding the Fourth Proportional to 267,945,793.20, 401,918,689.80 and 256,608,385.20

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Solution

The fourth proportional to 267,945,793.20, 401,918,689.80 and 256,608,385.20 is: 384,912,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,945,793.20 : 401,918,689.80 = 256,608,385.20 : x
  2. Step 2: Convert to fraction form
    267,945,793.20/401,918,689.80 = 256,608,385.20/x
  3. Step 3: Cross multiply
    267,945,793.20x = 401,918,689.80 × 256,608,385.20
  4. Step 4: Simplify right side
    267,945,793.20x = 103,135,705,971,277,712
  5. Step 5: Solve for x
    x = 103,135,705,971,277,712/267,945,793.20
  6. Step 6: Final answer
    x = 384,912,577.80

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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.