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Finding the Fourth Proportional to 403,863.70, 605,790.15 and 123,382.30

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Solution

The fourth proportional to 403,863.70, 605,790.15 and 123,382.30 is: 185,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,863.70 : 605,790.15 = 123,382.30 : x
  2. Step 2: Convert to fraction form
    403,863.70/605,790.15 = 123,382.30/x
  3. Step 3: Cross multiply
    403,863.70x = 605,790.15 × 123,382.30
  4. Step 4: Simplify right side
    403,863.70x = 74,743,782,024.35
  5. Step 5: Solve for x
    x = 74,743,782,024.35/403,863.70
  6. Step 6: Final answer
    x = 185,071.80

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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.