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Finding the Fourth Proportional to 378,324.42, 522,091.20 and 208,564.62

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Solution

The fourth proportional to 378,324.42, 522,091.20 and 208,564.62 is: 287,821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,324.42 : 522,091.20 = 208,564.62 : x
  2. Step 2: Convert to fraction form
    378,324.42/522,091.20 = 208,564.62/x
  3. Step 3: Cross multiply
    378,324.42x = 522,091.20 × 208,564.62
  4. Step 4: Simplify right side
    378,324.42x = 108,889,752,733.34
  5. Step 5: Solve for x
    x = 108,889,752,733.34/378,324.42
  6. Step 6: Final answer
    x = 287,821.11

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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.