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Finding the Fourth Proportional to 403,815, 557,276.22 and 224,978.52

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Solution

The fourth proportional to 403,815, 557,276.22 and 224,978.52 is: 310,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,815 : 557,276.22 = 224,978.52 : x
  2. Step 2: Convert to fraction form
    403,815/557,276.22 = 224,978.52/x
  3. Step 3: Cross multiply
    403,815x = 557,276.22 × 224,978.52
  4. Step 4: Simplify right side
    403,815x = 125,375,179,206.79
  5. Step 5: Solve for x
    x = 125,375,179,206.79/403,815
  6. Step 6: Final answer
    x = 310,476.78

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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.