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Finding the Fourth Proportional to 431,983.82, 648,264.98 and 179,264.57

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Solution

The fourth proportional to 431,983.82, 648,264.98 and 179,264.57 is: 269,016.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,983.82 : 648,264.98 = 179,264.57 : x
  2. Step 2: Convert to fraction form
    431,983.82/648,264.98 = 179,264.57/x
  3. Step 3: Cross multiply
    431,983.82x = 648,264.98 × 179,264.57
  4. Step 4: Simplify right side
    431,983.82x = 116,210,940,092.60
  5. Step 5: Solve for x
    x = 116,210,940,092.60/431,983.82
  6. Step 6: Final answer
    x = 269,016.88

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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.