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Finding the Fourth Proportional to 495,758.44, 743,504.82 and 215,209

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Solution

The fourth proportional to 495,758.44, 743,504.82 and 215,209 is: 322,755.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,758.44 : 743,504.82 = 215,209 : x
  2. Step 2: Convert to fraction form
    495,758.44/743,504.82 = 215,209/x
  3. Step 3: Cross multiply
    495,758.44x = 743,504.82 × 215,209
  4. Step 4: Simplify right side
    495,758.44x = 160,008,928,807.38
  5. Step 5: Solve for x
    x = 160,008,928,807.38/495,758.44
  6. Step 6: Final answer
    x = 322,755.83

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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.