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Finding the Fourth Proportional to 378,416.27, 522,218.54 and 206,332.85

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Solution

The fourth proportional to 378,416.27, 522,218.54 and 206,332.85 is: 284,741.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,416.27 : 522,218.54 = 206,332.85 : x
  2. Step 2: Convert to fraction form
    378,416.27/522,218.54 = 206,332.85/x
  3. Step 3: Cross multiply
    378,416.27x = 522,218.54 × 206,332.85
  4. Step 4: Simplify right side
    378,416.27x = 107,750,839,681.04
  5. Step 5: Solve for x
    x = 107,750,839,681.04/378,416.27
  6. Step 6: Final answer
    x = 284,741.56

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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.