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Finding the Fourth Proportional to 215,866.40, 323,799.60 and 206,535.20

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Solution

The fourth proportional to 215,866.40, 323,799.60 and 206,535.20 is: 309,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,866.40 : 323,799.60 = 206,535.20 : x
  2. Step 2: Convert to fraction form
    215,866.40/323,799.60 = 206,535.20/x
  3. Step 3: Cross multiply
    215,866.40x = 323,799.60 × 206,535.20
  4. Step 4: Simplify right side
    215,866.40x = 66,876,015,145.92
  5. Step 5: Solve for x
    x = 66,876,015,145.92/215,866.40
  6. Step 6: Final answer
    x = 309,802.80

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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.