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Finding the Fourth Proportional to 463,887.78, 640,105.38 and 272,831.46

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Solution

The fourth proportional to 463,887.78, 640,105.38 and 272,831.46 is: 376,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,887.78 : 640,105.38 = 272,831.46 : x
  2. Step 2: Convert to fraction form
    463,887.78/640,105.38 = 272,831.46/x
  3. Step 3: Cross multiply
    463,887.78x = 640,105.38 × 272,831.46
  4. Step 4: Simplify right side
    463,887.78x = 174,640,885,379.26
  5. Step 5: Solve for x
    x = 174,640,885,379.26/463,887.78
  6. Step 6: Final answer
    x = 376,472.27

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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.