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Finding the Fourth Proportional to 273,020.70, 409,531.05 and 140,160.45

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Solution

The fourth proportional to 273,020.70, 409,531.05 and 140,160.45 is: 210,240.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,020.70 : 409,531.05 = 140,160.45 : x
  2. Step 2: Convert to fraction form
    273,020.70/409,531.05 = 140,160.45/x
  3. Step 3: Cross multiply
    273,020.70x = 409,531.05 × 140,160.45
  4. Step 4: Simplify right side
    273,020.70x = 57,400,056,256.97
  5. Step 5: Solve for x
    x = 57,400,056,256.97/273,020.70
  6. Step 6: Final answer
    x = 210,240.68

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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.