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Finding the Fourth Proportional to 403,711.97, 605,661.76 and 137,474.79

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Solution

The fourth proportional to 403,711.97, 605,661.76 and 137,474.79 is: 206,244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,711.97 : 605,661.76 = 137,474.79 : x
  2. Step 2: Convert to fraction form
    403,711.97/605,661.76 = 137,474.79/x
  3. Step 3: Cross multiply
    403,711.97x = 605,661.76 × 137,474.79
  4. Step 4: Simplify right side
    403,711.97x = 83,263,223,267.03
  5. Step 5: Solve for x
    x = 83,263,223,267.03/403,711.97
  6. Step 6: Final answer
    x = 206,244.13

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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.