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Finding the Fourth Proportional to 287,605.24, 431,406.03 and 87,924.85

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Solution

The fourth proportional to 287,605.24, 431,406.03 and 87,924.85 is: 131,886.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,605.24 : 431,406.03 = 87,924.85 : x
  2. Step 2: Convert to fraction form
    287,605.24/431,406.03 = 87,924.85/x
  3. Step 3: Cross multiply
    287,605.24x = 431,406.03 × 87,924.85
  4. Step 4: Simplify right side
    287,605.24x = 37,931,309,728.05
  5. Step 5: Solve for x
    x = 37,931,309,728.05/287,605.24
  6. Step 6: Final answer
    x = 131,886.71

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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.