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Finding the Fourth Proportional to 207,414.86, 311,223.96 and 74,305.40

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Solution

The fourth proportional to 207,414.86, 311,223.96 and 74,305.40 is: 111,494.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,414.86 : 311,223.96 = 74,305.40 : x
  2. Step 2: Convert to fraction form
    207,414.86/311,223.96 = 74,305.40/x
  3. Step 3: Cross multiply
    207,414.86x = 311,223.96 × 74,305.40
  4. Step 4: Simplify right side
    207,414.86x = 23,125,619,281.26
  5. Step 5: Solve for x
    x = 23,125,619,281.26/207,414.86
  6. Step 6: Final answer
    x = 111,494.52

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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.