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Finding the Fourth Proportional to 206,083.59, 310,714.65 and 204,804.20

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Solution

The fourth proportional to 206,083.59, 310,714.65 and 204,804.20 is: 308,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,083.59 : 310,714.65 = 204,804.20 : x
  2. Step 2: Convert to fraction form
    206,083.59/310,714.65 = 204,804.20/x
  3. Step 3: Cross multiply
    206,083.59x = 310,714.65 × 204,804.20
  4. Step 4: Simplify right side
    206,083.59x = 63,635,663,767.96
  5. Step 5: Solve for x
    x = 63,635,663,767.96/206,083.59
  6. Step 6: Final answer
    x = 308,785.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.