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Finding the Fourth Proportional to 205,876.10, 308,814.15 and 198,002.90

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Solution

The fourth proportional to 205,876.10, 308,814.15 and 198,002.90 is: 297,004.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,876.10 : 308,814.15 = 198,002.90 : x
  2. Step 2: Convert to fraction form
    205,876.10/308,814.15 = 198,002.90/x
  3. Step 3: Cross multiply
    205,876.10x = 308,814.15 × 198,002.90
  4. Step 4: Simplify right side
    205,876.10x = 61,146,097,261.04
  5. Step 5: Solve for x
    x = 61,146,097,261.04/205,876.10
  6. Step 6: Final answer
    x = 297,004.35

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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.