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Finding the Fourth Proportional to 270,494.27, 405,778.32 and 112,685.82

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Solution

The fourth proportional to 270,494.27, 405,778.32 and 112,685.82 is: 169,044.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,494.27 : 405,778.32 = 112,685.82 : x
  2. Step 2: Convert to fraction form
    270,494.27/405,778.32 = 112,685.82/x
  3. Step 3: Cross multiply
    270,494.27x = 405,778.32 × 112,685.82
  4. Step 4: Simplify right side
    270,494.27x = 45,725,462,727.42
  5. Step 5: Solve for x
    x = 45,725,462,727.42/270,494.27
  6. Step 6: Final answer
    x = 169,044.11

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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.