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Finding the Fourth Proportional to 375,442, 518,109.96 and 224,539

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Solution

The fourth proportional to 375,442, 518,109.96 and 224,539 is: 309,863.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,442 : 518,109.96 = 224,539 : x
  2. Step 2: Convert to fraction form
    375,442/518,109.96 = 224,539/x
  3. Step 3: Cross multiply
    375,442x = 518,109.96 × 224,539
  4. Step 4: Simplify right side
    375,442x = 116,335,892,308.44
  5. Step 5: Solve for x
    x = 116,335,892,308.44/375,442
  6. Step 6: Final answer
    x = 309,863.82

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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.