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Finding the Fourth Proportional to 245,780.80, 368,282.40 and 206,123.20

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Solution

The fourth proportional to 245,780.80, 368,282.40 and 206,123.20 is: 308,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,780.80 : 368,282.40 = 206,123.20 : x
  2. Step 2: Convert to fraction form
    245,780.80/368,282.40 = 206,123.20/x
  3. Step 3: Cross multiply
    245,780.80x = 368,282.40 × 206,123.20
  4. Step 4: Simplify right side
    245,780.80x = 75,911,546,791.68
  5. Step 5: Solve for x
    x = 75,911,546,791.68/245,780.80
  6. Step 6: Final answer
    x = 308,858.73

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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.