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Finding the Fourth Proportional to 295,691.78, 408,054.82 and 159,725.74

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Solution

The fourth proportional to 295,691.78, 408,054.82 and 159,725.74 is: 220,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,691.78 : 408,054.82 = 159,725.74 : x
  2. Step 2: Convert to fraction form
    295,691.78/408,054.82 = 159,725.74/x
  3. Step 3: Cross multiply
    295,691.78x = 408,054.82 × 159,725.74
  4. Step 4: Simplify right side
    295,691.78x = 65,176,858,085.07
  5. Step 5: Solve for x
    x = 65,176,858,085.07/295,691.78
  6. Step 6: Final answer
    x = 220,421.61

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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.