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Finding the Fourth Proportional to 287,169.49, 430,754.10 and 109,694.44

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Solution

The fourth proportional to 287,169.49, 430,754.10 and 109,694.44 is: 164,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,169.49 : 430,754.10 = 109,694.44 : x
  2. Step 2: Convert to fraction form
    287,169.49/430,754.10 = 109,694.44/x
  3. Step 3: Cross multiply
    287,169.49x = 430,754.10 × 109,694.44
  4. Step 4: Simplify right side
    287,169.49x = 47,251,329,777.20
  5. Step 5: Solve for x
    x = 47,251,329,777.20/287,169.49
  6. Step 6: Final answer
    x = 164,541.61

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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.