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Finding the Fourth Proportional to 379,207.98, 523,262.25 and 209,431.98

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Solution

The fourth proportional to 379,207.98, 523,262.25 and 209,431.98 is: 288,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,207.98 : 523,262.25 = 209,431.98 : x
  2. Step 2: Convert to fraction form
    379,207.98/523,262.25 = 209,431.98/x
  3. Step 3: Cross multiply
    379,207.98x = 523,262.25 × 209,431.98
  4. Step 4: Simplify right side
    379,207.98x = 109,587,849,076.76
  5. Step 5: Solve for x
    x = 109,587,849,076.76/379,207.98
  6. Step 6: Final answer
    x = 288,991.41

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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.