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Finding the Fourth Proportional to 215,859.20, 323,788.80 and 181,644.80

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Solution

The fourth proportional to 215,859.20, 323,788.80 and 181,644.80 is: 272,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,859.20 : 323,788.80 = 181,644.80 : x
  2. Step 2: Convert to fraction form
    215,859.20/323,788.80 = 181,644.80/x
  3. Step 3: Cross multiply
    215,859.20x = 323,788.80 × 181,644.80
  4. Step 4: Simplify right side
    215,859.20x = 58,814,551,818.24
  5. Step 5: Solve for x
    x = 58,814,551,818.24/215,859.20
  6. Step 6: Final answer
    x = 272,467.20

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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.