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Finding the Fourth Proportional to 378,874.96, 522,844.86 and 209,109.10

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Solution

The fourth proportional to 378,874.96, 522,844.86 and 209,109.10 is: 288,569.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,874.96 : 522,844.86 = 209,109.10 : x
  2. Step 2: Convert to fraction form
    378,874.96/522,844.86 = 209,109.10/x
  3. Step 3: Cross multiply
    378,874.96x = 522,844.86 × 209,109.10
  4. Step 4: Simplify right side
    378,874.96x = 109,331,618,114.23
  5. Step 5: Solve for x
    x = 109,331,618,114.23/378,874.96
  6. Step 6: Final answer
    x = 288,569.13

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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.