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Finding the Fourth Proportional to 412,241.34, 618,262.55 and 172,225.59

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Solution

The fourth proportional to 412,241.34, 618,262.55 and 172,225.59 is: 258,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,241.34 : 618,262.55 = 172,225.59 : x
  2. Step 2: Convert to fraction form
    412,241.34/618,262.55 = 172,225.59/x
  3. Step 3: Cross multiply
    412,241.34x = 618,262.55 × 172,225.59
  4. Step 4: Simplify right side
    412,241.34x = 106,480,629,357.34
  5. Step 5: Solve for x
    x = 106,480,629,357.34/412,241.34
  6. Step 6: Final answer
    x = 258,296.83

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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.