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Finding the Fourth Proportional to 379,486.62, 523,660.14 and 209,720.34

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Solution

The fourth proportional to 379,486.62, 523,660.14 and 209,720.34 is: 289,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,486.62 : 523,660.14 = 209,720.34 : x
  2. Step 2: Convert to fraction form
    379,486.62/523,660.14 = 209,720.34/x
  3. Step 3: Cross multiply
    379,486.62x = 523,660.14 × 209,720.34
  4. Step 4: Simplify right side
    379,486.62x = 109,822,182,605.25
  5. Step 5: Solve for x
    x = 109,822,182,605.25/379,486.62
  6. Step 6: Final answer
    x = 289,396.72

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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.