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Finding the Fourth Proportional to 381,000.36, 525,781.92 and 208,921.02

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Solution

The fourth proportional to 381,000.36, 525,781.92 and 208,921.02 is: 288,311.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,000.36 : 525,781.92 = 208,921.02 : x
  2. Step 2: Convert to fraction form
    381,000.36/525,781.92 = 208,921.02/x
  3. Step 3: Cross multiply
    381,000.36x = 525,781.92 × 208,921.02
  4. Step 4: Simplify right side
    381,000.36x = 109,846,895,023.96
  5. Step 5: Solve for x
    x = 109,846,895,023.96/381,000.36
  6. Step 6: Final answer
    x = 288,311.79

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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.