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Finding the Fourth Proportional to 415,721.86, 573,696.49 and 224,735.20

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Solution

The fourth proportional to 415,721.86, 573,696.49 and 224,735.20 is: 310,134.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,721.86 : 573,696.49 = 224,735.20 : x
  2. Step 2: Convert to fraction form
    415,721.86/573,696.49 = 224,735.20/x
  3. Step 3: Cross multiply
    415,721.86x = 573,696.49 × 224,735.20
  4. Step 4: Simplify right side
    415,721.86x = 128,929,792,550.97
  5. Step 5: Solve for x
    x = 128,929,792,550.97/415,721.86
  6. Step 6: Final answer
    x = 310,134.75

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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.