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Finding the Fourth Proportional to 220,829.83, 304,745.21 and 120,227.83

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Solution

The fourth proportional to 220,829.83, 304,745.21 and 120,227.83 is: 165,914.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,829.83 : 304,745.21 = 120,227.83 : x
  2. Step 2: Convert to fraction form
    220,829.83/304,745.21 = 120,227.83/x
  3. Step 3: Cross multiply
    220,829.83x = 304,745.21 × 120,227.83
  4. Step 4: Simplify right side
    220,829.83x = 36,638,855,301.19
  5. Step 5: Solve for x
    x = 36,638,855,301.19/220,829.83
  6. Step 6: Final answer
    x = 165,914.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.