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Finding the Fourth Proportional to 259,047.75, 388,627.20 and 146,781.75

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Solution

The fourth proportional to 259,047.75, 388,627.20 and 146,781.75 is: 220,204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,047.75 : 388,627.20 = 146,781.75 : x
  2. Step 2: Convert to fraction form
    259,047.75/388,627.20 = 146,781.75/x
  3. Step 3: Cross multiply
    259,047.75x = 388,627.20 × 146,781.75
  4. Step 4: Simplify right side
    259,047.75x = 57,043,380,513.60
  5. Step 5: Solve for x
    x = 57,043,380,513.60/259,047.75
  6. Step 6: Final answer
    x = 220,204.11

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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.