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Finding the Fourth Proportional to 390,067.41, 585,071.94 and 140,749.41

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Solution

The fourth proportional to 390,067.41, 585,071.94 and 140,749.41 is: 211,113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,067.41 : 585,071.94 = 140,749.41 : x
  2. Step 2: Convert to fraction form
    390,067.41/585,071.94 = 140,749.41/x
  3. Step 3: Cross multiply
    390,067.41x = 585,071.94 × 140,749.41
  4. Step 4: Simplify right side
    390,067.41x = 82,348,530,362.56
  5. Step 5: Solve for x
    x = 82,348,530,362.56/390,067.41
  6. Step 6: Final answer
    x = 211,113.59

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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.