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Finding the Fourth Proportional to 378,305.34, 522,062.10 and 206,224.72

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Solution

The fourth proportional to 378,305.34, 522,062.10 and 206,224.72 is: 284,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,305.34 : 522,062.10 = 206,224.72 : x
  2. Step 2: Convert to fraction form
    378,305.34/522,062.10 = 206,224.72/x
  3. Step 3: Cross multiply
    378,305.34x = 522,062.10 × 206,224.72
  4. Step 4: Simplify right side
    378,305.34x = 107,662,110,395.11
  5. Step 5: Solve for x
    x = 107,662,110,395.11/378,305.34
  6. Step 6: Final answer
    x = 284,590.51

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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.