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Finding the Fourth Proportional to 396,132.61, 546,661.41 and 214,843.81

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Solution

The fourth proportional to 396,132.61, 546,661.41 and 214,843.81 is: 296,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,132.61 : 546,661.41 = 214,843.81 : x
  2. Step 2: Convert to fraction form
    396,132.61/546,661.41 = 214,843.81/x
  3. Step 3: Cross multiply
    396,132.61x = 546,661.41 × 214,843.81
  4. Step 4: Simplify right side
    396,132.61x = 117,446,820,104.37
  5. Step 5: Solve for x
    x = 117,446,820,104.37/396,132.61
  6. Step 6: Final answer
    x = 296,483.59

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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.