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Finding the Fourth Proportional to 256,934.23, 385,427.23 and 88,432.40

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Solution

The fourth proportional to 256,934.23, 385,427.23 and 88,432.40 is: 132,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,934.23 : 385,427.23 = 88,432.40 : x
  2. Step 2: Convert to fraction form
    256,934.23/385,427.23 = 88,432.40/x
  3. Step 3: Cross multiply
    256,934.23x = 385,427.23 × 88,432.40
  4. Step 4: Simplify right side
    256,934.23x = 34,084,255,716.74
  5. Step 5: Solve for x
    x = 34,084,255,716.74/256,934.23
  6. Step 6: Final answer
    x = 132,657.51

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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.