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Finding the Fourth Proportional to 287,633.92, 431,450.56 and 133,744.64

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Solution

The fourth proportional to 287,633.92, 431,450.56 and 133,744.64 is: 200,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,633.92 : 431,450.56 = 133,744.64 : x
  2. Step 2: Convert to fraction form
    287,633.92/431,450.56 = 133,744.64/x
  3. Step 3: Cross multiply
    287,633.92x = 431,450.56 × 133,744.64
  4. Step 4: Simplify right side
    287,633.92x = 57,704,199,825.00
  5. Step 5: Solve for x
    x = 57,704,199,825.00/287,633.92
  6. Step 6: Final answer
    x = 200,616.81

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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.