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Finding the Fourth Proportional to 215,758.28, 323,748.34 and 165,480.28

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Solution

The fourth proportional to 215,758.28, 323,748.34 and 165,480.28 is: 248,305.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,758.28 : 323,748.34 = 165,480.28 : x
  2. Step 2: Convert to fraction form
    215,758.28/323,748.34 = 165,480.28/x
  3. Step 3: Cross multiply
    215,758.28x = 323,748.34 × 165,480.28
  4. Step 4: Simplify right side
    215,758.28x = 53,573,964,729.66
  5. Step 5: Solve for x
    x = 53,573,964,729.66/215,758.28
  6. Step 6: Final answer
    x = 248,305.48

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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.