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Finding the Fourth Proportional to 313,101.82, 432,067.25 and 177,138.08

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Solution

The fourth proportional to 313,101.82, 432,067.25 and 177,138.08 is: 244,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,101.82 : 432,067.25 = 177,138.08 : x
  2. Step 2: Convert to fraction form
    313,101.82/432,067.25 = 177,138.08/x
  3. Step 3: Cross multiply
    313,101.82x = 432,067.25 × 177,138.08
  4. Step 4: Simplify right side
    313,101.82x = 76,535,563,095.88
  5. Step 5: Solve for x
    x = 76,535,563,095.88/313,101.82
  6. Step 6: Final answer
    x = 244,443.05

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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.