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Finding the Fourth Proportional to 378,820.78, 522,775.54 and 206,740.06

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Solution

The fourth proportional to 378,820.78, 522,775.54 and 206,740.06 is: 285,302.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,820.78 : 522,775.54 = 206,740.06 : x
  2. Step 2: Convert to fraction form
    378,820.78/522,775.54 = 206,740.06/x
  3. Step 3: Cross multiply
    378,820.78x = 522,775.54 × 206,740.06
  4. Step 4: Simplify right side
    378,820.78x = 108,078,646,506.13
  5. Step 5: Solve for x
    x = 108,078,646,506.13/378,820.78
  6. Step 6: Final answer
    x = 285,302.85

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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.