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Finding the Fourth Proportional to 299,874.87, 413,826.98 and 163,909.71

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Solution

The fourth proportional to 299,874.87, 413,826.98 and 163,909.71 is: 226,195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,874.87 : 413,826.98 = 163,909.71 : x
  2. Step 2: Convert to fraction form
    299,874.87/413,826.98 = 163,909.71/x
  3. Step 3: Cross multiply
    299,874.87x = 413,826.98 × 163,909.71
  4. Step 4: Simplify right side
    299,874.87x = 67,830,259,462.43
  5. Step 5: Solve for x
    x = 67,830,259,462.43/299,874.87
  6. Step 6: Final answer
    x = 226,195.21

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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.