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Finding the Fourth Proportional to 378,392.30, 522,185.45 and 206,308.86

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Solution

The fourth proportional to 378,392.30, 522,185.45 and 206,308.86 is: 284,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,392.30 : 522,185.45 = 206,308.86 : x
  2. Step 2: Convert to fraction form
    378,392.30/522,185.45 = 206,308.86/x
  3. Step 3: Cross multiply
    378,392.30x = 522,185.45 × 206,308.86
  4. Step 4: Simplify right side
    378,392.30x = 107,731,483,661.10
  5. Step 5: Solve for x
    x = 107,731,483,661.10/378,392.30
  6. Step 6: Final answer
    x = 284,708.45

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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.