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Finding the Fourth Proportional to 287,244.58, 431,063.67 and 100,256.08

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Solution

The fourth proportional to 287,244.58, 431,063.67 and 100,256.08 is: 150,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,244.58 : 431,063.67 = 100,256.08 : x
  2. Step 2: Convert to fraction form
    287,244.58/431,063.67 = 100,256.08/x
  3. Step 3: Cross multiply
    287,244.58x = 431,063.67 × 100,256.08
  4. Step 4: Simplify right side
    287,244.58x = 43,216,753,784.61
  5. Step 5: Solve for x
    x = 43,216,753,784.61/287,244.58
  6. Step 6: Final answer
    x = 150,452.81

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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.