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Finding the Fourth Proportional to 256,296.10, 384,407.70 and 87,824.20

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Solution

The fourth proportional to 256,296.10, 384,407.70 and 87,824.20 is: 131,723.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,296.10 : 384,407.70 = 87,824.20 : x
  2. Step 2: Convert to fraction form
    256,296.10/384,407.70 = 87,824.20/x
  3. Step 3: Cross multiply
    256,296.10x = 384,407.70 × 87,824.20
  4. Step 4: Simplify right side
    256,296.10x = 33,760,298,726.34
  5. Step 5: Solve for x
    x = 33,760,298,726.34/256,296.10
  6. Step 6: Final answer
    x = 131,723.81

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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.