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Finding the Fourth Proportional to 315,446.82, 435,317.31 and 172,206.90

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Solution

The fourth proportional to 315,446.82, 435,317.31 and 172,206.90 is: 237,645.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,446.82 : 435,317.31 = 172,206.90 : x
  2. Step 2: Convert to fraction form
    315,446.82/435,317.31 = 172,206.90/x
  3. Step 3: Cross multiply
    315,446.82x = 435,317.31 × 172,206.90
  4. Step 4: Simplify right side
    315,446.82x = 74,964,644,471.44
  5. Step 5: Solve for x
    x = 74,964,644,471.44/315,446.82
  6. Step 6: Final answer
    x = 237,645.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.