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Finding the Fourth Proportional to 265,561.92, 398,342.88 and 218,716.48

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Solution

The fourth proportional to 265,561.92, 398,342.88 and 218,716.48 is: 328,074.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,561.92 : 398,342.88 = 218,716.48 : x
  2. Step 2: Convert to fraction form
    265,561.92/398,342.88 = 218,716.48/x
  3. Step 3: Cross multiply
    265,561.92x = 398,342.88 × 218,716.48
  4. Step 4: Simplify right side
    265,561.92x = 87,124,152,546.66
  5. Step 5: Solve for x
    x = 87,124,152,546.66/265,561.92
  6. Step 6: Final answer
    x = 328,074.72

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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.