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Finding the Fourth Proportional to 287,274.81, 431,109.05 and 100,286.31

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Solution

The fourth proportional to 287,274.81, 431,109.05 and 100,286.31 is: 150,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,274.81 : 431,109.05 = 100,286.31 : x
  2. Step 2: Convert to fraction form
    287,274.81/431,109.05 = 100,286.31/x
  3. Step 3: Cross multiply
    287,274.81x = 431,109.05 × 100,286.31
  4. Step 4: Simplify right side
    287,274.81x = 43,234,335,330.67
  5. Step 5: Solve for x
    x = 43,234,335,330.67/287,274.81
  6. Step 6: Final answer
    x = 150,498.18

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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.