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Finding the Fourth Proportional to 440,446.76, 660,768.56 and 140,945.31

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Solution

The fourth proportional to 440,446.76, 660,768.56 and 140,945.31 is: 211,449.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,446.76 : 660,768.56 = 140,945.31 : x
  2. Step 2: Convert to fraction form
    440,446.76/660,768.56 = 140,945.31/x
  3. Step 3: Cross multiply
    440,446.76x = 660,768.56 × 140,945.31
  4. Step 4: Simplify right side
    440,446.76x = 93,132,229,527.45
  5. Step 5: Solve for x
    x = 93,132,229,527.45/440,446.76
  6. Step 6: Final answer
    x = 211,449.46

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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.