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Finding the Fourth Proportional to 378,910, 522,895.85 and 209,144.17

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Solution

The fourth proportional to 378,910, 522,895.85 and 209,144.17 is: 288,618.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,910 : 522,895.85 = 209,144.17 : x
  2. Step 2: Convert to fraction form
    378,910/522,895.85 = 209,144.17/x
  3. Step 3: Cross multiply
    378,910x = 522,895.85 × 209,144.17
  4. Step 4: Simplify right side
    378,910x = 109,360,618,544.70
  5. Step 5: Solve for x
    x = 109,360,618,544.70/378,910
  6. Step 6: Final answer
    x = 288,618.98

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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.