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Finding the Fourth Proportional to 378,957.02, 522,960.18 and 209,190.74

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Solution

The fourth proportional to 378,957.02, 522,960.18 and 209,190.74 is: 288,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,957.02 : 522,960.18 = 209,190.74 : x
  2. Step 2: Convert to fraction form
    378,957.02/522,960.18 = 209,190.74/x
  3. Step 3: Cross multiply
    378,957.02x = 522,960.18 × 209,190.74
  4. Step 4: Simplify right side
    378,957.02x = 109,398,427,044.73
  5. Step 5: Solve for x
    x = 109,398,427,044.73/378,957.02
  6. Step 6: Final answer
    x = 288,682.94

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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.