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Finding the Fourth Proportional to 319,352.32, 440,712.57 and 206,371.90

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Solution

The fourth proportional to 319,352.32, 440,712.57 and 206,371.90 is: 284,797.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,352.32 : 440,712.57 = 206,371.90 : x
  2. Step 2: Convert to fraction form
    319,352.32/440,712.57 = 206,371.90/x
  3. Step 3: Cross multiply
    319,352.32x = 440,712.57 × 206,371.90
  4. Step 4: Simplify right side
    319,352.32x = 90,950,690,424.78
  5. Step 5: Solve for x
    x = 90,950,690,424.78/319,352.32
  6. Step 6: Final answer
    x = 284,797.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.