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Finding the Fourth Proportional to 256,872.40, 385,301.40 and 116,630.80

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Solution

The fourth proportional to 256,872.40, 385,301.40 and 116,630.80 is: 174,942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,872.40 : 385,301.40 = 116,630.80 : x
  2. Step 2: Convert to fraction form
    256,872.40/385,301.40 = 116,630.80/x
  3. Step 3: Cross multiply
    256,872.40x = 385,301.40 × 116,630.80
  4. Step 4: Simplify right side
    256,872.40x = 44,938,010,523.12
  5. Step 5: Solve for x
    x = 44,938,010,523.12/256,872.40
  6. Step 6: Final answer
    x = 174,942.93

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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.