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Finding the Fourth Proportional to 256,781.80, 384,999.90 and 116,468.20

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Solution

The fourth proportional to 256,781.80, 384,999.90 and 116,468.20 is: 174,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,781.80 : 384,999.90 = 116,468.20 : x
  2. Step 2: Convert to fraction form
    256,781.80/384,999.90 = 116,468.20/x
  3. Step 3: Cross multiply
    256,781.80x = 384,999.90 × 116,468.20
  4. Step 4: Simplify right side
    256,781.80x = 44,840,245,353.18
  5. Step 5: Solve for x
    x = 44,840,245,353.18/256,781.80
  6. Step 6: Final answer
    x = 174,623.92

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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.