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Finding the Fourth Proportional to 381,980.72, 527,102.53 and 220,846.15

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Solution

The fourth proportional to 381,980.72, 527,102.53 and 220,846.15 is: 304,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,980.72 : 527,102.53 = 220,846.15 : x
  2. Step 2: Convert to fraction form
    381,980.72/527,102.53 = 220,846.15/x
  3. Step 3: Cross multiply
    381,980.72x = 527,102.53 × 220,846.15
  4. Step 4: Simplify right side
    381,980.72x = 116,408,563,301.53
  5. Step 5: Solve for x
    x = 116,408,563,301.53/381,980.72
  6. Step 6: Final answer
    x = 304,749.84

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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.