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Finding the Fourth Proportional to 273,205.89, 409,710.42 and 115,446.69

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Solution

The fourth proportional to 273,205.89, 409,710.42 and 115,446.69 is: 173,128.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,205.89 : 409,710.42 = 115,446.69 : x
  2. Step 2: Convert to fraction form
    273,205.89/409,710.42 = 115,446.69/x
  3. Step 3: Cross multiply
    273,205.89x = 409,710.42 × 115,446.69
  4. Step 4: Simplify right side
    273,205.89x = 47,299,711,847.51
  5. Step 5: Solve for x
    x = 47,299,711,847.51/273,205.89
  6. Step 6: Final answer
    x = 173,128.45

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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.