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Finding the Fourth Proportional to 311,408.71, 466,750.15 and 142,946.82

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Solution

The fourth proportional to 311,408.71, 466,750.15 and 142,946.82 is: 214,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,408.71 : 466,750.15 = 142,946.82 : x
  2. Step 2: Convert to fraction form
    311,408.71/466,750.15 = 142,946.82/x
  3. Step 3: Cross multiply
    311,408.71x = 466,750.15 × 142,946.82
  4. Step 4: Simplify right side
    311,408.71x = 66,720,449,319.66
  5. Step 5: Solve for x
    x = 66,720,449,319.66/311,408.71
  6. Step 6: Final answer
    x = 214,253.64

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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.