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Finding the Fourth Proportional to 225,685.44, 338,560.83 and 120,447

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Solution

The fourth proportional to 225,685.44, 338,560.83 and 120,447 is: 180,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,685.44 : 338,560.83 = 120,447 : x
  2. Step 2: Convert to fraction form
    225,685.44/338,560.83 = 120,447/x
  3. Step 3: Cross multiply
    225,685.44x = 338,560.83 × 120,447
  4. Step 4: Simplify right side
    225,685.44x = 40,778,636,291.01
  5. Step 5: Solve for x
    x = 40,778,636,291.01/225,685.44
  6. Step 6: Final answer
    x = 180,687.94

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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.