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Finding the Fourth Proportional to 437,504.36, 656,270.67 and 137,987.78

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Solution

The fourth proportional to 437,504.36, 656,270.67 and 137,987.78 is: 206,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,504.36 : 656,270.67 = 137,987.78 : x
  2. Step 2: Convert to fraction form
    437,504.36/656,270.67 = 137,987.78/x
  3. Step 3: Cross multiply
    437,504.36x = 656,270.67 × 137,987.78
  4. Step 4: Simplify right side
    437,504.36x = 90,557,332,832.41
  5. Step 5: Solve for x
    x = 90,557,332,832.41/437,504.36
  6. Step 6: Final answer
    x = 206,986.13

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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.