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Finding the Fourth Proportional to 378,279, 522,025.02 and 208,516.77

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Solution

The fourth proportional to 378,279, 522,025.02 and 208,516.77 is: 287,753.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,279 : 522,025.02 = 208,516.77 : x
  2. Step 2: Convert to fraction form
    378,279/522,025.02 = 208,516.77/x
  3. Step 3: Cross multiply
    378,279x = 522,025.02 × 208,516.77
  4. Step 4: Simplify right side
    378,279x = 108,850,971,029.59
  5. Step 5: Solve for x
    x = 108,850,971,029.59/378,279
  6. Step 6: Final answer
    x = 287,753.14

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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.