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Finding the Fourth Proportional to 379,058.42, 523,086.90 and 209,288.90

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Solution

The fourth proportional to 379,058.42, 523,086.90 and 209,288.90 is: 288,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,058.42 : 523,086.90 = 209,288.90 : x
  2. Step 2: Convert to fraction form
    379,058.42/523,086.90 = 209,288.90/x
  3. Step 3: Cross multiply
    379,058.42x = 523,086.90 × 209,288.90
  4. Step 4: Simplify right side
    379,058.42x = 109,476,279,289.98
  5. Step 5: Solve for x
    x = 109,476,279,289.98/379,058.42
  6. Step 6: Final answer
    x = 288,811.10

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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.