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Finding the Fourth Proportional to 409,726.34, 614,652.82 and 139,791.27

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Solution

The fourth proportional to 409,726.34, 614,652.82 and 139,791.27 is: 209,708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,726.34 : 614,652.82 = 139,791.27 : x
  2. Step 2: Convert to fraction form
    409,726.34/614,652.82 = 139,791.27/x
  3. Step 3: Cross multiply
    409,726.34x = 614,652.82 × 139,791.27
  4. Step 4: Simplify right side
    409,726.34x = 85,923,098,316.88
  5. Step 5: Solve for x
    x = 85,923,098,316.88/409,726.34
  6. Step 6: Final answer
    x = 209,708.51

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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.