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Finding the Fourth Proportional to 378,909, 522,894.47 and 209,143.17

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Solution

The fourth proportional to 378,909, 522,894.47 and 209,143.17 is: 288,617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,909 : 522,894.47 = 209,143.17 : x
  2. Step 2: Convert to fraction form
    378,909/522,894.47 = 209,143.17/x
  3. Step 3: Cross multiply
    378,909x = 522,894.47 × 209,143.17
  4. Step 4: Simplify right side
    378,909x = 109,359,805,985.55
  5. Step 5: Solve for x
    x = 109,359,805,985.55/378,909
  6. Step 6: Final answer
    x = 288,617.60

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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.