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Finding the Fourth Proportional to 287,244.44, 431,063.52 and 100,255.94

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Solution

The fourth proportional to 287,244.44, 431,063.52 and 100,255.94 is: 150,452.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,244.44 : 431,063.52 = 100,255.94 : x
  2. Step 2: Convert to fraction form
    287,244.44/431,063.52 = 100,255.94/x
  3. Step 3: Cross multiply
    287,244.44x = 431,063.52 × 100,255.94
  4. Step 4: Simplify right side
    287,244.44x = 43,216,678,397.31
  5. Step 5: Solve for x
    x = 43,216,678,397.31/287,244.44
  6. Step 6: Final answer
    x = 150,452.62

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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.