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Finding the Fourth Proportional to 321,526.56, 443,704.86 and 178,307.76

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Solution

The fourth proportional to 321,526.56, 443,704.86 and 178,307.76 is: 246,063.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,526.56 : 443,704.86 = 178,307.76 : x
  2. Step 2: Convert to fraction form
    321,526.56/443,704.86 = 178,307.76/x
  3. Step 3: Cross multiply
    321,526.56x = 443,704.86 × 178,307.76
  4. Step 4: Simplify right side
    321,526.56x = 79,116,019,687.71
  5. Step 5: Solve for x
    x = 79,116,019,687.71/321,526.56
  6. Step 6: Final answer
    x = 246,063.71

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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.