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Finding the Fourth Proportional to 431,463.51, 647,288.69 and 165,224.04

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Solution

The fourth proportional to 431,463.51, 647,288.69 and 165,224.04 is: 247,871.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,463.51 : 647,288.69 = 165,224.04 : x
  2. Step 2: Convert to fraction form
    431,463.51/647,288.69 = 165,224.04/x
  3. Step 3: Cross multiply
    431,463.51x = 647,288.69 × 165,224.04
  4. Step 4: Simplify right side
    431,463.51x = 106,947,652,408.11
  5. Step 5: Solve for x
    x = 106,947,652,408.11/431,463.51
  6. Step 6: Final answer
    x = 247,871.84

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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.