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Finding the Fourth Proportional to 205,318.80, 307,978.20 and 193,654.80

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Solution

The fourth proportional to 205,318.80, 307,978.20 and 193,654.80 is: 290,482.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,318.80 : 307,978.20 = 193,654.80 : x
  2. Step 2: Convert to fraction form
    205,318.80/307,978.20 = 193,654.80/x
  3. Step 3: Cross multiply
    205,318.80x = 307,978.20 × 193,654.80
  4. Step 4: Simplify right side
    205,318.80x = 59,641,456,725.36
  5. Step 5: Solve for x
    x = 59,641,456,725.36/205,318.80
  6. Step 6: Final answer
    x = 290,482.20

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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.