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Finding the Fourth Proportional to 287,616.32, 431,145.84 and 109,986.56

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Solution

The fourth proportional to 287,616.32, 431,145.84 and 109,986.56 is: 164,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,616.32 : 431,145.84 = 109,986.56 : x
  2. Step 2: Convert to fraction form
    287,616.32/431,145.84 = 109,986.56/x
  3. Step 3: Cross multiply
    287,616.32x = 431,145.84 × 109,986.56
  4. Step 4: Simplify right side
    287,616.32x = 47,420,247,799.91
  5. Step 5: Solve for x
    x = 47,420,247,799.91/287,616.32
  6. Step 6: Final answer
    x = 164,873.29

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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.