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Finding the Fourth Proportional to 378,648.05, 522,525.89 and 208,882.13

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Solution

The fourth proportional to 378,648.05, 522,525.89 and 208,882.13 is: 288,252.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,648.05 : 522,525.89 = 208,882.13 : x
  2. Step 2: Convert to fraction form
    378,648.05/522,525.89 = 208,882.13/x
  3. Step 3: Cross multiply
    378,648.05x = 522,525.89 × 208,882.13
  4. Step 4: Simplify right side
    378,648.05x = 109,146,318,792.92
  5. Step 5: Solve for x
    x = 109,146,318,792.92/378,648.05
  6. Step 6: Final answer
    x = 288,252.69

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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.