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Finding the Fourth Proportional to 302,494.26, 417,441.81 and 187,730.10

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Solution

The fourth proportional to 302,494.26, 417,441.81 and 187,730.10 is: 259,067.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,494.26 : 417,441.81 = 187,730.10 : x
  2. Step 2: Convert to fraction form
    302,494.26/417,441.81 = 187,730.10/x
  3. Step 3: Cross multiply
    302,494.26x = 417,441.81 × 187,730.10
  4. Step 4: Simplify right side
    302,494.26x = 78,366,392,735.48
  5. Step 5: Solve for x
    x = 78,366,392,735.48/302,494.26
  6. Step 6: Final answer
    x = 259,067.37

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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.