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Finding the Fourth Proportional to 469,115.13, 647,378.49 and 254,255.13

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Solution

The fourth proportional to 469,115.13, 647,378.49 and 254,255.13 is: 350,871.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,115.13 : 647,378.49 = 254,255.13 : x
  2. Step 2: Convert to fraction form
    469,115.13/647,378.49 = 254,255.13/x
  3. Step 3: Cross multiply
    469,115.13x = 647,378.49 × 254,255.13
  4. Step 4: Simplify right side
    469,115.13x = 164,599,302,134.15
  5. Step 5: Solve for x
    x = 164,599,302,134.15/469,115.13
  6. Step 6: Final answer
    x = 350,871.87

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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.