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Finding the Fourth Proportional to 215,843.10, 323,764.65 and 209,699.10

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Solution

The fourth proportional to 215,843.10, 323,764.65 and 209,699.10 is: 314,548.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,843.10 : 323,764.65 = 209,699.10 : x
  2. Step 2: Convert to fraction form
    215,843.10/323,764.65 = 209,699.10/x
  3. Step 3: Cross multiply
    215,843.10x = 323,764.65 × 209,699.10
  4. Step 4: Simplify right side
    215,843.10x = 67,893,155,716.82
  5. Step 5: Solve for x
    x = 67,893,155,716.82/215,843.10
  6. Step 6: Final answer
    x = 314,548.65

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Similar ratio
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1.5x scale

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.