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Finding the Fourth Proportional to 256,786.32, 385,187.98 and 88,304.96

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Solution

The fourth proportional to 256,786.32, 385,187.98 and 88,304.96 is: 132,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,786.32 : 385,187.98 = 88,304.96 : x
  2. Step 2: Convert to fraction form
    256,786.32/385,187.98 = 88,304.96/x
  3. Step 3: Cross multiply
    256,786.32x = 385,187.98 × 88,304.96
  4. Step 4: Simplify right side
    256,786.32x = 34,014,009,166.38
  5. Step 5: Solve for x
    x = 34,014,009,166.38/256,786.32
  6. Step 6: Final answer
    x = 132,460.36

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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.