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Finding the Fourth Proportional to 274,765.80, 411,630.30 and 256,103.40

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Solution

The fourth proportional to 274,765.80, 411,630.30 and 256,103.40 is: 383,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,765.80 : 411,630.30 = 256,103.40 : x
  2. Step 2: Convert to fraction form
    274,765.80/411,630.30 = 256,103.40/x
  3. Step 3: Cross multiply
    274,765.80x = 411,630.30 × 256,103.40
  4. Step 4: Simplify right side
    274,765.80x = 105,419,919,373.02
  5. Step 5: Solve for x
    x = 105,419,919,373.02/274,765.80
  6. Step 6: Final answer
    x = 383,671.91

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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.