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Finding the Fourth Proportional to 290,641.92, 435,727.60 and 90,859.44

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Solution

The fourth proportional to 290,641.92, 435,727.60 and 90,859.44 is: 136,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,641.92 : 435,727.60 = 90,859.44 : x
  2. Step 2: Convert to fraction form
    290,641.92/435,727.60 = 90,859.44/x
  3. Step 3: Cross multiply
    290,641.92x = 435,727.60 × 90,859.44
  4. Step 4: Simplify right side
    290,641.92x = 39,589,965,728.54
  5. Step 5: Solve for x
    x = 39,589,965,728.54/290,641.92
  6. Step 6: Final answer
    x = 136,215.61

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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.