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Finding the Fourth Proportional to 205,877.10, 308,815.65 and 198,003.90

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Solution

The fourth proportional to 205,877.10, 308,815.65 and 198,003.90 is: 297,005.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877.10 : 308,815.65 = 198,003.90 : x
  2. Step 2: Convert to fraction form
    205,877.10/308,815.65 = 198,003.90/x
  3. Step 3: Cross multiply
    205,877.10x = 308,815.65 × 198,003.90
  4. Step 4: Simplify right side
    205,877.10x = 61,146,703,081.04
  5. Step 5: Solve for x
    x = 61,146,703,081.04/205,877.10
  6. Step 6: Final answer
    x = 297,005.85

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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.