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Finding the Fourth Proportional to 512,738.70, 706,979.25 and 349,491.87

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Solution

The fourth proportional to 512,738.70, 706,979.25 and 349,491.87 is: 481,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,738.70 : 706,979.25 = 349,491.87 : x
  2. Step 2: Convert to fraction form
    512,738.70/706,979.25 = 349,491.87/x
  3. Step 3: Cross multiply
    512,738.70x = 706,979.25 × 349,491.87
  4. Step 4: Simplify right side
    512,738.70x = 247,083,500,133.70
  5. Step 5: Solve for x
    x = 247,083,500,133.70/512,738.70
  6. Step 6: Final answer
    x = 481,889.70

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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.