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Finding the Fourth Proportional to 205,867.70, 308,801.55 and 202,757.30

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Solution

The fourth proportional to 205,867.70, 308,801.55 and 202,757.30 is: 304,135.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,867.70 : 308,801.55 = 202,757.30 : x
  2. Step 2: Convert to fraction form
    205,867.70/308,801.55 = 202,757.30/x
  3. Step 3: Cross multiply
    205,867.70x = 308,801.55 × 202,757.30
  4. Step 4: Simplify right side
    205,867.70x = 62,611,768,513.82
  5. Step 5: Solve for x
    x = 62,611,768,513.82/205,867.70
  6. Step 6: Final answer
    x = 304,135.95

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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.