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Finding the Fourth Proportional to 378,505.31, 522,337.82 and 206,423.64

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Solution

The fourth proportional to 378,505.31, 522,337.82 and 206,423.64 is: 284,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,505.31 : 522,337.82 = 206,423.64 : x
  2. Step 2: Convert to fraction form
    378,505.31/522,337.82 = 206,423.64/x
  3. Step 3: Cross multiply
    378,505.31x = 522,337.82 × 206,423.64
  4. Step 4: Simplify right side
    378,505.31x = 107,822,873,081.95
  5. Step 5: Solve for x
    x = 107,822,873,081.95/378,505.31
  6. Step 6: Final answer
    x = 284,864.89

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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.