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Finding the Fourth Proportional to 440,906.09, 661,306.28 and 137,322.14

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Solution

The fourth proportional to 440,906.09, 661,306.28 and 137,322.14 is: 205,966.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    440,906.09 : 661,306.28 = 137,322.14 : x
  2. Step 2: Convert to fraction form
    440,906.09/661,306.28 = 137,322.14/x
  3. Step 3: Cross multiply
    440,906.09x = 661,306.28 × 137,322.14
  4. Step 4: Simplify right side
    440,906.09x = 90,811,989,571.90
  5. Step 5: Solve for x
    x = 90,811,989,571.90/440,906.09
  6. Step 6: Final answer
    x = 205,966.74

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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.