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Finding the Fourth Proportional to 397,690.59, 596,535.90 and 327,422.28

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Solution

The fourth proportional to 397,690.59, 596,535.90 and 327,422.28 is: 491,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,690.59 : 596,535.90 = 327,422.28 : x
  2. Step 2: Convert to fraction form
    397,690.59/596,535.90 = 327,422.28/x
  3. Step 3: Cross multiply
    397,690.59x = 596,535.90 × 327,422.28
  4. Step 4: Simplify right side
    397,690.59x = 195,319,144,479.85
  5. Step 5: Solve for x
    x = 195,319,144,479.85/397,690.59
  6. Step 6: Final answer
    x = 491,133.43

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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.