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Finding the Fourth Proportional to 256,968.28, 385,452.42 and 88,492.75

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Solution

The fourth proportional to 256,968.28, 385,452.42 and 88,492.75 is: 132,739.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,968.28 : 385,452.42 = 88,492.75 : x
  2. Step 2: Convert to fraction form
    256,968.28/385,452.42 = 88,492.75/x
  3. Step 3: Cross multiply
    256,968.28x = 385,452.42 × 88,492.75
  4. Step 4: Simplify right side
    256,968.28x = 34,109,744,639.96
  5. Step 5: Solve for x
    x = 34,109,744,639.96/256,968.28
  6. Step 6: Final answer
    x = 132,739.13

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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.