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Finding the Fourth Proportional to 412,843.84, 618,679.82 and 172,698.94

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Solution

The fourth proportional to 412,843.84, 618,679.82 and 172,698.94 is: 258,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,843.84 : 618,679.82 = 172,698.94 : x
  2. Step 2: Convert to fraction form
    412,843.84/618,679.82 = 172,698.94/x
  3. Step 3: Cross multiply
    412,843.84x = 618,679.82 × 172,698.94
  4. Step 4: Simplify right side
    412,843.84x = 106,845,350,318.49
  5. Step 5: Solve for x
    x = 106,845,350,318.49/412,843.84
  6. Step 6: Final answer
    x = 258,803.30

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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.