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Finding the Fourth Proportional to 400,729.72, 601,102.27 and 187,379.97

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Solution

The fourth proportional to 400,729.72, 601,102.27 and 187,379.97 is: 281,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,729.72 : 601,102.27 = 187,379.97 : x
  2. Step 2: Convert to fraction form
    400,729.72/601,102.27 = 187,379.97/x
  3. Step 3: Cross multiply
    400,729.72x = 601,102.27 × 187,379.97
  4. Step 4: Simplify right side
    400,729.72x = 112,634,525,319.53
  5. Step 5: Solve for x
    x = 112,634,525,319.53/400,729.72
  6. Step 6: Final answer
    x = 281,073.55

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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.