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Finding the Fourth Proportional to 440,781.72, 661,060.10 and 137,116.49

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Solution

The fourth proportional to 440,781.72, 661,060.10 and 137,116.49 is: 205,639.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,781.72 : 661,060.10 = 137,116.49 : x
  2. Step 2: Convert to fraction form
    440,781.72/661,060.10 = 137,116.49/x
  3. Step 3: Cross multiply
    440,781.72x = 661,060.10 × 137,116.49
  4. Step 4: Simplify right side
    440,781.72x = 90,642,237,628.54
  5. Step 5: Solve for x
    x = 90,642,237,628.54/440,781.72
  6. Step 6: Final answer
    x = 205,639.74

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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.