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Finding the Fourth Proportional to 495,760.44, 743,507.82 and 215,211

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Solution

The fourth proportional to 495,760.44, 743,507.82 and 215,211 is: 322,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,760.44 : 743,507.82 = 215,211 : x
  2. Step 2: Convert to fraction form
    495,760.44/743,507.82 = 215,211/x
  3. Step 3: Cross multiply
    495,760.44x = 743,507.82 × 215,211
  4. Step 4: Simplify right side
    495,760.44x = 160,011,061,450.02
  5. Step 5: Solve for x
    x = 160,011,061,450.02/495,760.44
  6. Step 6: Final answer
    x = 322,758.83

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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.