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Finding the Fourth Proportional to 321,381.84, 443,528.28 and 178,147.92

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Solution

The fourth proportional to 321,381.84, 443,528.28 and 178,147.92 is: 245,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,381.84 : 443,528.28 = 178,147.92 : x
  2. Step 2: Convert to fraction form
    321,381.84/443,528.28 = 178,147.92/x
  3. Step 3: Cross multiply
    321,381.84x = 443,528.28 × 178,147.92
  4. Step 4: Simplify right side
    321,381.84x = 79,013,640,543.18
  5. Step 5: Solve for x
    x = 79,013,640,543.18/321,381.84
  6. Step 6: Final answer
    x = 245,855.96

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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.