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Finding the Fourth Proportional to 305,859.70, 458,789.55 and 165,891.70

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Solution

The fourth proportional to 305,859.70, 458,789.55 and 165,891.70 is: 248,837.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,859.70 : 458,789.55 = 165,891.70 : x
  2. Step 2: Convert to fraction form
    305,859.70/458,789.55 = 165,891.70/x
  3. Step 3: Cross multiply
    305,859.70x = 458,789.55 × 165,891.70
  4. Step 4: Simplify right side
    305,859.70x = 76,109,378,391.74
  5. Step 5: Solve for x
    x = 76,109,378,391.74/305,859.70
  6. Step 6: Final answer
    x = 248,837.55

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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.