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Finding the Fourth Proportional to 311,729.67, 466,749.90 and 161,655.25

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Solution

The fourth proportional to 311,729.67, 466,749.90 and 161,655.25 is: 242,044.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,729.67 : 466,749.90 = 161,655.25 : x
  2. Step 2: Convert to fraction form
    311,729.67/466,749.90 = 161,655.25/x
  3. Step 3: Cross multiply
    311,729.67x = 466,749.90 × 161,655.25
  4. Step 4: Simplify right side
    311,729.67x = 75,452,571,771.98
  5. Step 5: Solve for x
    x = 75,452,571,771.98/311,729.67
  6. Step 6: Final answer
    x = 242,044.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.