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Finding the Fourth Proportional to 287,660.22, 431,552.61 and 110,167.22

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Solution

The fourth proportional to 287,660.22, 431,552.61 and 110,167.22 is: 165,274.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,660.22 : 431,552.61 = 110,167.22 : x
  2. Step 2: Convert to fraction form
    287,660.22/431,552.61 = 110,167.22/x
  3. Step 3: Cross multiply
    287,660.22x = 431,552.61 × 110,167.22
  4. Step 4: Simplify right side
    287,660.22x = 47,542,949,169.68
  5. Step 5: Solve for x
    x = 47,542,949,169.68/287,660.22
  6. Step 6: Final answer
    x = 165,274.67

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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.