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Finding the Fourth Proportional to 431,729.84, 647,669.64 and 132,203.36

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Solution

The fourth proportional to 431,729.84, 647,669.64 and 132,203.36 is: 198,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,729.84 : 647,669.64 = 132,203.36 : x
  2. Step 2: Convert to fraction form
    431,729.84/647,669.64 = 132,203.36/x
  3. Step 3: Cross multiply
    431,729.84x = 647,669.64 × 132,203.36
  4. Step 4: Simplify right side
    431,729.84x = 85,624,102,577.99
  5. Step 5: Solve for x
    x = 85,624,102,577.99/431,729.84
  6. Step 6: Final answer
    x = 198,327.97

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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.