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Finding the Fourth Proportional to 206,972.40, 310,458.60 and 151,203.90

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Solution

The fourth proportional to 206,972.40, 310,458.60 and 151,203.90 is: 226,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,972.40 : 310,458.60 = 151,203.90 : x
  2. Step 2: Convert to fraction form
    206,972.40/310,458.60 = 151,203.90/x
  3. Step 3: Cross multiply
    206,972.40x = 310,458.60 × 151,203.90
  4. Step 4: Simplify right side
    206,972.40x = 46,942,551,108.54
  5. Step 5: Solve for x
    x = 46,942,551,108.54/206,972.40
  6. Step 6: Final answer
    x = 226,805.85

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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.