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Finding the Fourth Proportional to 273,178.68, 409,669.61 and 115,419.43

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Solution

The fourth proportional to 273,178.68, 409,669.61 and 115,419.43 is: 173,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,178.68 : 409,669.61 = 115,419.43 : x
  2. Step 2: Convert to fraction form
    273,178.68/409,669.61 = 115,419.43/x
  3. Step 3: Cross multiply
    273,178.68x = 409,669.61 × 115,419.43
  4. Step 4: Simplify right side
    273,178.68x = 47,283,832,809.51
  5. Step 5: Solve for x
    x = 47,283,832,809.51/273,178.68
  6. Step 6: Final answer
    x = 173,087.57

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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.