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Finding the Fourth Proportional to 321,527.56, 443,706.24 and 178,308.76

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Solution

The fourth proportional to 321,527.56, 443,706.24 and 178,308.76 is: 246,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,527.56 : 443,706.24 = 178,308.76 : x
  2. Step 2: Convert to fraction form
    321,527.56/443,706.24 = 178,308.76/x
  3. Step 3: Cross multiply
    321,527.56x = 443,706.24 × 178,308.76
  4. Step 4: Simplify right side
    321,527.56x = 79,116,709,458.66
  5. Step 5: Solve for x
    x = 79,116,709,458.66/321,527.56
  6. Step 6: Final answer
    x = 246,065.09

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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.