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Finding the Fourth Proportional to 315,082.92, 434,664.36 and 213,144.06

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Solution

The fourth proportional to 315,082.92, 434,664.36 and 213,144.06 is: 294,037.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,082.92 : 434,664.36 = 213,144.06 : x
  2. Step 2: Convert to fraction form
    315,082.92/434,664.36 = 213,144.06/x
  3. Step 3: Cross multiply
    315,082.92x = 434,664.36 × 213,144.06
  4. Step 4: Simplify right side
    315,082.92x = 92,646,126,427.70
  5. Step 5: Solve for x
    x = 92,646,126,427.70/315,082.92
  6. Step 6: Final answer
    x = 294,037.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.