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Finding the Fourth Proportional to 321,555.20, 443,729.28 and 178,304

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Solution

The fourth proportional to 321,555.20, 443,729.28 and 178,304 is: 246,050.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,555.20 : 443,729.28 = 178,304 : x
  2. Step 2: Convert to fraction form
    321,555.20/443,729.28 = 178,304/x
  3. Step 3: Cross multiply
    321,555.20x = 443,729.28 × 178,304
  4. Step 4: Simplify right side
    321,555.20x = 79,118,705,541.12
  5. Step 5: Solve for x
    x = 79,118,705,541.12/321,555.20
  6. Step 6: Final answer
    x = 246,050.15

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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.