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Finding the Fourth Proportional to 420,643.32, 580,489.10 and 269,740.92

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Solution

The fourth proportional to 420,643.32, 580,489.10 and 269,740.92 is: 372,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,643.32 : 580,489.10 = 269,740.92 : x
  2. Step 2: Convert to fraction form
    420,643.32/580,489.10 = 269,740.92/x
  3. Step 3: Cross multiply
    420,643.32x = 580,489.10 × 269,740.92
  4. Step 4: Simplify right side
    420,643.32x = 156,581,663,883.97
  5. Step 5: Solve for x
    x = 156,581,663,883.97/420,643.32
  6. Step 6: Final answer
    x = 372,243.32

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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.