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Finding the Fourth Proportional to 426,362,092.80, 639,543,139.20 and 426,362,092.80

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Solution

The fourth proportional to 426,362,092.80, 639,543,139.20 and 426,362,092.80 is: 639,543,139.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,362,092.80 : 639,543,139.20 = 426,362,092.80 : x
  2. Step 2: Convert to fraction form
    426,362,092.80/639,543,139.20 = 426,362,092.80/x
  3. Step 3: Cross multiply
    426,362,092.80x = 639,543,139.20 × 426,362,092.80
  4. Step 4: Simplify right side
    426,362,092.80x = 272,676,951,265,193,760
  5. Step 5: Solve for x
    x = 272,676,951,265,193,760/426,362,092.80
  6. Step 6: Final answer
    x = 639,543,139.20

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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.