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Finding the Fourth Proportional to 343,811.30, 515,279.55 and 165,935.30

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Solution

The fourth proportional to 343,811.30, 515,279.55 and 165,935.30 is: 248,691.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,811.30 : 515,279.55 = 165,935.30 : x
  2. Step 2: Convert to fraction form
    343,811.30/515,279.55 = 165,935.30/x
  3. Step 3: Cross multiply
    343,811.30x = 515,279.55 × 165,935.30
  4. Step 4: Simplify right side
    343,811.30x = 85,503,066,713.12
  5. Step 5: Solve for x
    x = 85,503,066,713.12/343,811.30
  6. Step 6: Final answer
    x = 248,691.85

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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.