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Finding the Fourth Proportional to 256,575.87, 353,843.91 and 165,836.43

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Solution

The fourth proportional to 256,575.87, 353,843.91 and 165,836.43 is: 228,705.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,575.87 : 353,843.91 = 165,836.43 : x
  2. Step 2: Convert to fraction form
    256,575.87/353,843.91 = 165,836.43/x
  3. Step 3: Cross multiply
    256,575.87x = 353,843.91 × 165,836.43
  4. Step 4: Simplify right side
    256,575.87x = 58,680,210,811.64
  5. Step 5: Solve for x
    x = 58,680,210,811.64/256,575.87
  6. Step 6: Final answer
    x = 228,705.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.