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Finding the Fourth Proportional to 378,378, 522,165.24 and 208,618.20

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Solution

The fourth proportional to 378,378, 522,165.24 and 208,618.20 is: 287,895.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,378 : 522,165.24 = 208,618.20 : x
  2. Step 2: Convert to fraction form
    378,378/522,165.24 = 208,618.20/x
  3. Step 3: Cross multiply
    378,378x = 522,165.24 × 208,618.20
  4. Step 4: Simplify right side
    378,378x = 108,933,172,471.37
  5. Step 5: Solve for x
    x = 108,933,172,471.37/378,378
  6. Step 6: Final answer
    x = 287,895.10

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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.