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Finding the Fourth Proportional to 403,857.34, 605,786.02 and 137,480.74

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Solution

The fourth proportional to 403,857.34, 605,786.02 and 137,480.74 is: 206,221.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,857.34 : 605,786.02 = 137,480.74 : x
  2. Step 2: Convert to fraction form
    403,857.34/605,786.02 = 137,480.74/x
  3. Step 3: Cross multiply
    403,857.34x = 605,786.02 × 137,480.74
  4. Step 4: Simplify right side
    403,857.34x = 83,283,910,311.25
  5. Step 5: Solve for x
    x = 83,283,910,311.25/403,857.34
  6. Step 6: Final answer
    x = 206,221.11

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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.