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Finding the Fourth Proportional to 273,202.39, 409,705.17 and 115,443.15

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Solution

The fourth proportional to 273,202.39, 409,705.17 and 115,443.15 is: 173,123.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,202.39 : 409,705.17 = 115,443.15 : x
  2. Step 2: Convert to fraction form
    273,202.39/409,705.17 = 115,443.15/x
  3. Step 3: Cross multiply
    273,202.39x = 409,705.17 × 115,443.15
  4. Step 4: Simplify right side
    273,202.39x = 47,297,655,396.09
  5. Step 5: Solve for x
    x = 47,297,655,396.09/273,202.39
  6. Step 6: Final answer
    x = 173,123.14

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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.