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Finding the Fourth Proportional to 288,546.59, 398,305.41 and 258,278.51

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Solution

The fourth proportional to 288,546.59, 398,305.41 and 258,278.51 is: 356,523.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,546.59 : 398,305.41 = 258,278.51 : x
  2. Step 2: Convert to fraction form
    288,546.59/398,305.41 = 258,278.51/x
  3. Step 3: Cross multiply
    288,546.59x = 398,305.41 × 258,278.51
  4. Step 4: Simplify right side
    288,546.59x = 102,873,727,819.74
  5. Step 5: Solve for x
    x = 102,873,727,819.74/288,546.59
  6. Step 6: Final answer
    x = 356,523.80

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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.