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Finding the Fourth Proportional to 256,855.69, 385,187.75 and 88,328.31

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Solution

The fourth proportional to 256,855.69, 385,187.75 and 88,328.31 is: 132,459.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,855.69 : 385,187.75 = 88,328.31 : x
  2. Step 2: Convert to fraction form
    256,855.69/385,187.75 = 88,328.31/x
  3. Step 3: Cross multiply
    256,855.69x = 385,187.75 × 88,328.31
  4. Step 4: Simplify right side
    256,855.69x = 34,022,982,990.20
  5. Step 5: Solve for x
    x = 34,022,982,990.20/256,855.69
  6. Step 6: Final answer
    x = 132,459.53

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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.