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Finding the Fourth Proportional to 396,053.21, 546,765.81 and 305,875.91

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Solution

The fourth proportional to 396,053.21, 546,765.81 and 305,875.91 is: 422,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,053.21 : 546,765.81 = 305,875.91 : x
  2. Step 2: Convert to fraction form
    396,053.21/546,765.81 = 305,875.91/x
  3. Step 3: Cross multiply
    396,053.21x = 546,765.81 × 305,875.91
  4. Step 4: Simplify right side
    396,053.21x = 167,242,489,690.64
  5. Step 5: Solve for x
    x = 167,242,489,690.64/396,053.21
  6. Step 6: Final answer
    x = 422,272.78

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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.