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Finding the Fourth Proportional to 440,447.64, 660,769.88 and 140,946.19

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Solution

The fourth proportional to 440,447.64, 660,769.88 and 140,946.19 is: 211,450.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,447.64 : 660,769.88 = 140,946.19 : x
  2. Step 2: Convert to fraction form
    440,447.64/660,769.88 = 140,946.19/x
  3. Step 3: Cross multiply
    440,447.64x = 660,769.88 × 140,946.19
  4. Step 4: Simplify right side
    440,447.64x = 93,132,997,052.76
  5. Step 5: Solve for x
    x = 93,132,997,052.76/440,447.64
  6. Step 6: Final answer
    x = 211,450.78

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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.