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Finding the Fourth Proportional to 287,486.56, 431,295.42 and 87,835.30

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Solution

The fourth proportional to 287,486.56, 431,295.42 and 87,835.30 is: 131,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,486.56 : 431,295.42 = 87,835.30 : x
  2. Step 2: Convert to fraction form
    287,486.56/431,295.42 = 87,835.30/x
  3. Step 3: Cross multiply
    287,486.56x = 431,295.42 × 87,835.30
  4. Step 4: Simplify right side
    287,486.56x = 37,882,962,604.33
  5. Step 5: Solve for x
    x = 37,882,962,604.33/287,486.56
  6. Step 6: Final answer
    x = 131,772.99

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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.