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Finding the Fourth Proportional to 256,912.32, 385,378.56 and 79,403.52

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Solution

The fourth proportional to 256,912.32, 385,378.56 and 79,403.52 is: 119,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,912.32 : 385,378.56 = 79,403.52 : x
  2. Step 2: Convert to fraction form
    256,912.32/385,378.56 = 79,403.52/x
  3. Step 3: Cross multiply
    256,912.32x = 385,378.56 × 79,403.52
  4. Step 4: Simplify right side
    256,912.32x = 30,600,414,196.53
  5. Step 5: Solve for x
    x = 30,600,414,196.53/256,912.32
  6. Step 6: Final answer
    x = 119,108.40

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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.