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Finding the Fourth Proportional to 378,830.64, 522,783 and 206,752.08

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Solution

The fourth proportional to 378,830.64, 522,783 and 206,752.08 is: 285,316.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,830.64 : 522,783 = 206,752.08 : x
  2. Step 2: Convert to fraction form
    378,830.64/522,783 = 206,752.08/x
  3. Step 3: Cross multiply
    378,830.64x = 522,783 × 206,752.08
  4. Step 4: Simplify right side
    378,830.64x = 108,086,472,638.64
  5. Step 5: Solve for x
    x = 108,086,472,638.64/378,830.64
  6. Step 6: Final answer
    x = 285,316.08

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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.