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Finding the Fourth Proportional to 279,862.35, 419,882.31 and 99,943.86

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Solution

The fourth proportional to 279,862.35, 419,882.31 and 99,943.86 is: 149,947.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,862.35 : 419,882.31 = 99,943.86 : x
  2. Step 2: Convert to fraction form
    279,862.35/419,882.31 = 99,943.86/x
  3. Step 3: Cross multiply
    279,862.35x = 419,882.31 × 99,943.86
  4. Step 4: Simplify right side
    279,862.35x = 41,964,658,807.12
  5. Step 5: Solve for x
    x = 41,964,658,807.12/279,862.35
  6. Step 6: Final answer
    x = 149,947.50

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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.