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Finding the Fourth Proportional to 275,496.95, 413,056.76 and 140,299.31

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Solution

The fourth proportional to 275,496.95, 413,056.76 and 140,299.31 is: 210,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,496.95 : 413,056.76 = 140,299.31 : x
  2. Step 2: Convert to fraction form
    275,496.95/413,056.76 = 140,299.31/x
  3. Step 3: Cross multiply
    275,496.95x = 413,056.76 × 140,299.31
  4. Step 4: Simplify right side
    275,496.95x = 57,951,578,749.98
  5. Step 5: Solve for x
    x = 57,951,578,749.98/275,496.95
  6. Step 6: Final answer
    x = 210,352.88

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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.