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Finding the Fourth Proportional to 399,145, 550,820.82 and 220,297

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Solution

The fourth proportional to 399,145, 550,820.82 and 220,297 is: 304,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,145 : 550,820.82 = 220,297 : x
  2. Step 2: Convert to fraction form
    399,145/550,820.82 = 220,297/x
  3. Step 3: Cross multiply
    399,145x = 550,820.82 × 220,297
  4. Step 4: Simplify right side
    399,145x = 121,344,174,183.54
  5. Step 5: Solve for x
    x = 121,344,174,183.54/399,145
  6. Step 6: Final answer
    x = 304,010.26

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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.