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Finding the Fourth Proportional to 379,538.46, 523,796.42 and 209,805.39

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Solution

The fourth proportional to 379,538.46, 523,796.42 and 209,805.39 is: 289,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,538.46 : 523,796.42 = 209,805.39 : x
  2. Step 2: Convert to fraction form
    379,538.46/523,796.42 = 209,805.39/x
  3. Step 3: Cross multiply
    379,538.46x = 523,796.42 × 209,805.39
  4. Step 4: Simplify right side
    379,538.46x = 109,895,312,703.22
  5. Step 5: Solve for x
    x = 109,895,312,703.22/379,538.46
  6. Step 6: Final answer
    x = 289,549.87

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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.