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Finding the Fourth Proportional to 379,021.62, 523,048.35 and 209,254.53

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Solution

The fourth proportional to 379,021.62, 523,048.35 and 209,254.53 is: 288,770.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,021.62 : 523,048.35 = 209,254.53 : x
  2. Step 2: Convert to fraction form
    379,021.62/523,048.35 = 209,254.53/x
  3. Step 3: Cross multiply
    379,021.62x = 523,048.35 × 209,254.53
  4. Step 4: Simplify right side
    379,021.62x = 109,450,236,646.53
  5. Step 5: Solve for x
    x = 109,450,236,646.53/379,021.62
  6. Step 6: Final answer
    x = 288,770.43

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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.