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Finding the Fourth Proportional to 215,808.80, 323,713.20 and 163,320.80

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Solution

The fourth proportional to 215,808.80, 323,713.20 and 163,320.80 is: 244,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,808.80 : 323,713.20 = 163,320.80 : x
  2. Step 2: Convert to fraction form
    215,808.80/323,713.20 = 163,320.80/x
  3. Step 3: Cross multiply
    215,808.80x = 323,713.20 × 163,320.80
  4. Step 4: Simplify right side
    215,808.80x = 52,869,098,794.56
  5. Step 5: Solve for x
    x = 52,869,098,794.56/215,808.80
  6. Step 6: Final answer
    x = 244,981.20

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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.