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Finding the Fourth Proportional to 287,584.26, 431,377.50 and 87,903.87

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Solution

The fourth proportional to 287,584.26, 431,377.50 and 87,903.87 is: 131,856.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,584.26 : 431,377.50 = 87,903.87 : x
  2. Step 2: Convert to fraction form
    287,584.26/431,377.50 = 87,903.87/x
  3. Step 3: Cross multiply
    287,584.26x = 431,377.50 × 87,903.87
  4. Step 4: Simplify right side
    287,584.26x = 37,919,751,680.93
  5. Step 5: Solve for x
    x = 37,919,751,680.93/287,584.26
  6. Step 6: Final answer
    x = 131,856.14

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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.