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Finding the Fourth Proportional to 378,287.13, 522,036.24 and 208,524.90

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Solution

The fourth proportional to 378,287.13, 522,036.24 and 208,524.90 is: 287,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,287.13 : 522,036.24 = 208,524.90 : x
  2. Step 2: Convert to fraction form
    378,287.13/522,036.24 = 208,524.90/x
  3. Step 3: Cross multiply
    378,287.13x = 522,036.24 × 208,524.90
  4. Step 4: Simplify right side
    378,287.13x = 108,857,554,742.38
  5. Step 5: Solve for x
    x = 108,857,554,742.38/378,287.13
  6. Step 6: Final answer
    x = 287,764.36

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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.