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Finding the Fourth Proportional to 431,576, 647,364 and 136,088

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Solution

The fourth proportional to 431,576, 647,364 and 136,088 is: 204,132

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,576 : 647,364 = 136,088 : x
  2. Step 2: Convert to fraction form
    431,576/647,364 = 136,088/x
  3. Step 3: Cross multiply
    431,576x = 647,364 × 136,088
  4. Step 4: Simplify right side
    431,576x = 88,098,472,032
  5. Step 5: Solve for x
    x = 88,098,472,032/431,576
  6. Step 6: Final answer
    x = 204,132

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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.