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Finding the Fourth Proportional to 270,691.13, 405,808.31 and 170,630.72

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Solution

The fourth proportional to 270,691.13, 405,808.31 and 170,630.72 is: 255,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,691.13 : 405,808.31 = 170,630.72 : x
  2. Step 2: Convert to fraction form
    270,691.13/405,808.31 = 170,630.72/x
  3. Step 3: Cross multiply
    270,691.13x = 405,808.31 × 170,630.72
  4. Step 4: Simplify right side
    270,691.13x = 69,243,361,235.09
  5. Step 5: Solve for x
    x = 69,243,361,235.09/270,691.13
  6. Step 6: Final answer
    x = 255,802.11

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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.