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Finding the Fourth Proportional to 266,801.48, 399,757.92 and 187,749.68

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Solution

The fourth proportional to 266,801.48, 399,757.92 and 187,749.68 is: 281,311.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,801.48 : 399,757.92 = 187,749.68 : x
  2. Step 2: Convert to fraction form
    266,801.48/399,757.92 = 187,749.68/x
  3. Step 3: Cross multiply
    266,801.48x = 399,757.92 × 187,749.68
  4. Step 4: Simplify right side
    266,801.48x = 75,054,421,557.47
  5. Step 5: Solve for x
    x = 75,054,421,557.47/266,801.48
  6. Step 6: Final answer
    x = 281,311.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.