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Finding the Fourth Proportional to 331,565.40, 497,348.10 and 82,247.40

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Solution

The fourth proportional to 331,565.40, 497,348.10 and 82,247.40 is: 123,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,565.40 : 497,348.10 = 82,247.40 : x
  2. Step 2: Convert to fraction form
    331,565.40/497,348.10 = 82,247.40/x
  3. Step 3: Cross multiply
    331,565.40x = 497,348.10 × 82,247.40
  4. Step 4: Simplify right side
    331,565.40x = 40,905,588,119.94
  5. Step 5: Solve for x
    x = 40,905,588,119.94/331,565.40
  6. Step 6: Final answer
    x = 123,371.10

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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.