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Finding the Fourth Proportional to 273,126.88, 409,394.22 and 139,824.28

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Solution

The fourth proportional to 273,126.88, 409,394.22 and 139,824.28 is: 209,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,126.88 : 409,394.22 = 139,824.28 : x
  2. Step 2: Convert to fraction form
    273,126.88/409,394.22 = 139,824.28/x
  3. Step 3: Cross multiply
    273,126.88x = 409,394.22 × 139,824.28
  4. Step 4: Simplify right side
    273,126.88x = 57,243,252,047.66
  5. Step 5: Solve for x
    x = 57,243,252,047.66/273,126.88
  6. Step 6: Final answer
    x = 209,584.83

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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.