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Finding the Fourth Proportional to 431,529.84, 647,154.71 and 203,790.24

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Solution

The fourth proportional to 431,529.84, 647,154.71 and 203,790.24 is: 305,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,529.84 : 647,154.71 = 203,790.24 : x
  2. Step 2: Convert to fraction form
    431,529.84/647,154.71 = 203,790.24/x
  3. Step 3: Cross multiply
    431,529.84x = 647,154.71 × 203,790.24
  4. Step 4: Simplify right side
    431,529.84x = 131,883,815,469.68
  5. Step 5: Solve for x
    x = 131,883,815,469.68/431,529.84
  6. Step 6: Final answer
    x = 305,619.22

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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.