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Finding the Fourth Proportional to 288,857.88, 398,616.40 and 159,793

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Solution

The fourth proportional to 288,857.88, 398,616.40 and 159,793 is: 220,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,857.88 : 398,616.40 = 159,793 : x
  2. Step 2: Convert to fraction form
    288,857.88/398,616.40 = 159,793/x
  3. Step 3: Cross multiply
    288,857.88x = 398,616.40 × 159,793
  4. Step 4: Simplify right side
    288,857.88x = 63,696,110,405.20
  5. Step 5: Solve for x
    x = 63,696,110,405.20/288,857.88
  6. Step 6: Final answer
    x = 220,510.21

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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.