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Finding the Fourth Proportional to 523,142.64, 721,960.56 and 308,291.76

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Solution

The fourth proportional to 523,142.64, 721,960.56 and 308,291.76 is: 425,456.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,142.64 : 721,960.56 = 308,291.76 : x
  2. Step 2: Convert to fraction form
    523,142.64/721,960.56 = 308,291.76/x
  3. Step 3: Cross multiply
    523,142.64x = 721,960.56 × 308,291.76
  4. Step 4: Simplify right side
    523,142.64x = 222,574,491,692.99
  5. Step 5: Solve for x
    x = 222,574,491,692.99/523,142.64
  6. Step 6: Final answer
    x = 425,456.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.