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Finding the Fourth Proportional to 396,464.74, 546,988.17 and 253,308.58

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Solution

The fourth proportional to 396,464.74, 546,988.17 and 253,308.58 is: 349,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,464.74 : 546,988.17 = 253,308.58 : x
  2. Step 2: Convert to fraction form
    396,464.74/546,988.17 = 253,308.58/x
  3. Step 3: Cross multiply
    396,464.74x = 546,988.17 × 253,308.58
  4. Step 4: Simplify right side
    396,464.74x = 138,556,796,201.94
  5. Step 5: Solve for x
    x = 138,556,796,201.94/396,464.74
  6. Step 6: Final answer
    x = 349,480.76

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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.