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Finding the Fourth Proportional to 330,506.96, 495,671.88 and 143,474

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Solution

The fourth proportional to 330,506.96, 495,671.88 and 143,474 is: 215,172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,506.96 : 495,671.88 = 143,474 : x
  2. Step 2: Convert to fraction form
    330,506.96/495,671.88 = 143,474/x
  3. Step 3: Cross multiply
    330,506.96x = 495,671.88 × 143,474
  4. Step 4: Simplify right side
    330,506.96x = 71,116,027,311.12
  5. Step 5: Solve for x
    x = 71,116,027,311.12/330,506.96
  6. Step 6: Final answer
    x = 215,172.56

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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.