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Finding the Fourth Proportional to 321,687.46, 443,892.86 and 178,411.60

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Solution

The fourth proportional to 321,687.46, 443,892.86 and 178,411.60 is: 246,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,687.46 : 443,892.86 = 178,411.60 : x
  2. Step 2: Convert to fraction form
    321,687.46/443,892.86 = 178,411.60/x
  3. Step 3: Cross multiply
    321,687.46x = 443,892.86 × 178,411.60
  4. Step 4: Simplify right side
    321,687.46x = 79,195,635,381.18
  5. Step 5: Solve for x
    x = 79,195,635,381.18/321,687.46
  6. Step 6: Final answer
    x = 246,188.13

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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.