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Finding the Fourth Proportional to 378,909.29, 522,895.30 and 209,143.42

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Solution

The fourth proportional to 378,909.29, 522,895.30 and 209,143.42 is: 288,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,909.29 : 522,895.30 = 209,143.42 : x
  2. Step 2: Convert to fraction form
    378,909.29/522,895.30 = 209,143.42/x
  3. Step 3: Cross multiply
    378,909.29x = 522,895.30 × 209,143.42
  4. Step 4: Simplify right side
    378,909.29x = 109,360,109,513.83
  5. Step 5: Solve for x
    x = 109,360,109,513.83/378,909.29
  6. Step 6: Final answer
    x = 288,618.18

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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.