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Finding the Fourth Proportional to 275,251.20, 379,852.80 and 167,827.20

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Solution

The fourth proportional to 275,251.20, 379,852.80 and 167,827.20 is: 231,605.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,251.20 : 379,852.80 = 167,827.20 : x
  2. Step 2: Convert to fraction form
    275,251.20/379,852.80 = 167,827.20/x
  3. Step 3: Cross multiply
    275,251.20x = 379,852.80 × 167,827.20
  4. Step 4: Simplify right side
    275,251.20x = 63,749,631,836.16
  5. Step 5: Solve for x
    x = 63,749,631,836.16/275,251.20
  6. Step 6: Final answer
    x = 231,605.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.