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Finding the Fourth Proportional to 266,847.48, 400,291.92 and 77,310.54

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Solution

The fourth proportional to 266,847.48, 400,291.92 and 77,310.54 is: 115,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,847.48 : 400,291.92 = 77,310.54 : x
  2. Step 2: Convert to fraction form
    266,847.48/400,291.92 = 77,310.54/x
  3. Step 3: Cross multiply
    266,847.48x = 400,291.92 × 77,310.54
  4. Step 4: Simplify right side
    266,847.48x = 30,946,784,492.84
  5. Step 5: Solve for x
    x = 30,946,784,492.84/266,847.48
  6. Step 6: Final answer
    x = 115,971.81

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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.