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Finding the Fourth Proportional to 403,669, 557,063.22 and 224,821

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Solution

The fourth proportional to 403,669, 557,063.22 and 224,821 is: 310,252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,669 : 557,063.22 = 224,821 : x
  2. Step 2: Convert to fraction form
    403,669/557,063.22 = 224,821/x
  3. Step 3: Cross multiply
    403,669x = 557,063.22 × 224,821
  4. Step 4: Simplify right side
    403,669x = 125,239,510,183.62
  5. Step 5: Solve for x
    x = 125,239,510,183.62/403,669
  6. Step 6: Final answer
    x = 310,252.98

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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.