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Finding the Fourth Proportional to 378,910.13, 522,896.02 and 209,144.30

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Solution

The fourth proportional to 378,910.13, 522,896.02 and 209,144.30 is: 288,619.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,910.13 : 522,896.02 = 209,144.30 : x
  2. Step 2: Convert to fraction form
    378,910.13/522,896.02 = 209,144.30/x
  3. Step 3: Cross multiply
    378,910.13x = 522,896.02 × 209,144.30
  4. Step 4: Simplify right side
    378,910.13x = 109,360,718,938.35
  5. Step 5: Solve for x
    x = 109,360,718,938.35/378,910.13
  6. Step 6: Final answer
    x = 288,619.15

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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.