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Finding the Fourth Proportional to 449,077.68, 618,674.49 and 312,865.25

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Solution

The fourth proportional to 449,077.68, 618,674.49 and 312,865.25 is: 431,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,077.68 : 618,674.49 = 312,865.25 : x
  2. Step 2: Convert to fraction form
    449,077.68/618,674.49 = 312,865.25/x
  3. Step 3: Cross multiply
    449,077.68x = 618,674.49 × 312,865.25
  4. Step 4: Simplify right side
    449,077.68x = 193,561,745,889.10
  5. Step 5: Solve for x
    x = 193,561,745,889.10/449,077.68
  6. Step 6: Final answer
    x = 431,020.63

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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.