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Finding the Fourth Proportional to 420,642.32, 580,487.72 and 269,739.92

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Solution

The fourth proportional to 420,642.32, 580,487.72 and 269,739.92 is: 372,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,642.32 : 580,487.72 = 269,739.92 : x
  2. Step 2: Convert to fraction form
    420,642.32/580,487.72 = 269,739.92/x
  3. Step 3: Cross multiply
    420,642.32x = 580,487.72 × 269,739.92
  4. Step 4: Simplify right side
    420,642.32x = 156,580,711,153.78
  5. Step 5: Solve for x
    x = 156,580,711,153.78/420,642.32
  6. Step 6: Final answer
    x = 372,241.94

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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.