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Finding the Fourth Proportional to 252,986.80, 379,237.20 and 146,261.20

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Solution

The fourth proportional to 252,986.80, 379,237.20 and 146,261.20 is: 219,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,986.80 : 379,237.20 = 146,261.20 : x
  2. Step 2: Convert to fraction form
    252,986.80/379,237.20 = 146,261.20/x
  3. Step 3: Cross multiply
    252,986.80x = 379,237.20 × 146,261.20
  4. Step 4: Simplify right side
    252,986.80x = 55,467,687,956.64
  5. Step 5: Solve for x
    x = 55,467,687,956.64/252,986.80
  6. Step 6: Final answer
    x = 219,251.31

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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.