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Finding the Fourth Proportional to 215,187.20, 322,780.80 and 165,363.20

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Solution

The fourth proportional to 215,187.20, 322,780.80 and 165,363.20 is: 248,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,187.20 : 322,780.80 = 165,363.20 : x
  2. Step 2: Convert to fraction form
    215,187.20/322,780.80 = 165,363.20/x
  3. Step 3: Cross multiply
    215,187.20x = 322,780.80 × 165,363.20
  4. Step 4: Simplify right side
    215,187.20x = 53,376,065,986.56
  5. Step 5: Solve for x
    x = 53,376,065,986.56/215,187.20
  6. Step 6: Final answer
    x = 248,044.80

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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.