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Finding the Fourth Proportional to 256,788.21, 385,225.35 and 88,301.73

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Solution

The fourth proportional to 256,788.21, 385,225.35 and 88,301.73 is: 132,467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,788.21 : 385,225.35 = 88,301.73 : x
  2. Step 2: Convert to fraction form
    256,788.21/385,225.35 = 88,301.73/x
  3. Step 3: Cross multiply
    256,788.21x = 385,225.35 × 88,301.73
  4. Step 4: Simplify right side
    256,788.21x = 34,016,064,844.86
  5. Step 5: Solve for x
    x = 34,016,064,844.86/256,788.21
  6. Step 6: Final answer
    x = 132,467.39

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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.