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Finding the Fourth Proportional to 412,633.74, 618,952.75 and 187,836.97

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Solution

The fourth proportional to 412,633.74, 618,952.75 and 187,836.97 is: 281,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,633.74 : 618,952.75 = 187,836.97 : x
  2. Step 2: Convert to fraction form
    412,633.74/618,952.75 = 187,836.97/x
  3. Step 3: Cross multiply
    412,633.74x = 618,952.75 × 187,836.97
  4. Step 4: Simplify right side
    412,633.74x = 116,262,209,133.17
  5. Step 5: Solve for x
    x = 116,262,209,133.17/412,633.74
  6. Step 6: Final answer
    x = 281,756.43

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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.