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Finding the Fourth Proportional to 267,906.20, 402,320.10 and 189,570.20

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Solution

The fourth proportional to 267,906.20, 402,320.10 and 189,570.20 is: 284,681.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,906.20 : 402,320.10 = 189,570.20 : x
  2. Step 2: Convert to fraction form
    267,906.20/402,320.10 = 189,570.20/x
  3. Step 3: Cross multiply
    267,906.20x = 402,320.10 × 189,570.20
  4. Step 4: Simplify right side
    267,906.20x = 76,267,901,821.02
  5. Step 5: Solve for x
    x = 76,267,901,821.02/267,906.20
  6. Step 6: Final answer
    x = 284,681.36

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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.