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Finding the Fourth Proportional to 379,073.52, 523,114.61 and 209,304

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Solution

The fourth proportional to 379,073.52, 523,114.61 and 209,304 is: 288,835.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,073.52 : 523,114.61 = 209,304 : x
  2. Step 2: Convert to fraction form
    379,073.52/523,114.61 = 209,304/x
  3. Step 3: Cross multiply
    379,073.52x = 523,114.61 × 209,304
  4. Step 4: Simplify right side
    379,073.52x = 109,489,979,284.92
  5. Step 5: Solve for x
    x = 109,489,979,284.92/379,073.52
  6. Step 6: Final answer
    x = 288,835.74

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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.