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Finding the Fourth Proportional to 311,407.58, 466,748.46 and 142,945.70

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Solution

The fourth proportional to 311,407.58, 466,748.46 and 142,945.70 is: 214,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,407.58 : 466,748.46 = 142,945.70 : x
  2. Step 2: Convert to fraction form
    311,407.58/466,748.46 = 142,945.70/x
  3. Step 3: Cross multiply
    311,407.58x = 466,748.46 × 142,945.70
  4. Step 4: Simplify right side
    311,407.58x = 66,719,683,004.88
  5. Step 5: Solve for x
    x = 66,719,683,004.88/311,407.58
  6. Step 6: Final answer
    x = 214,251.95

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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.