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Finding the Fourth Proportional to 272,894.22, 409,374.14 and 139,738.72

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Solution

The fourth proportional to 272,894.22, 409,374.14 and 139,738.72 is: 209,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,894.22 : 409,374.14 = 139,738.72 : x
  2. Step 2: Convert to fraction form
    272,894.22/409,374.14 = 139,738.72/x
  3. Step 3: Cross multiply
    272,894.22x = 409,374.14 × 139,738.72
  4. Step 4: Simplify right side
    272,894.22x = 57,205,418,324.70
  5. Step 5: Solve for x
    x = 57,205,418,324.70/272,894.22
  6. Step 6: Final answer
    x = 209,624.88

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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.