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Finding the Fourth Proportional to 379,141.40, 523,214.75 and 209,375.12

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Solution

The fourth proportional to 379,141.40, 523,214.75 and 209,375.12 is: 288,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,141.40 : 523,214.75 = 209,375.12 : x
  2. Step 2: Convert to fraction form
    379,141.40/523,214.75 = 209,375.12/x
  3. Step 3: Cross multiply
    379,141.40x = 523,214.75 × 209,375.12
  4. Step 4: Simplify right side
    379,141.40x = 109,548,147,404.07
  5. Step 5: Solve for x
    x = 109,548,147,404.07/379,141.40
  6. Step 6: Final answer
    x = 288,937.45

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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.