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Finding the Fourth Proportional to 396,133.61, 546,662.79 and 214,844.81

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Solution

The fourth proportional to 396,133.61, 546,662.79 and 214,844.81 is: 296,484.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,133.61 : 546,662.79 = 214,844.81 : x
  2. Step 2: Convert to fraction form
    396,133.61/546,662.79 = 214,844.81/x
  3. Step 3: Cross multiply
    396,133.61x = 546,662.79 × 214,844.81
  4. Step 4: Simplify right side
    396,133.61x = 117,447,663,251.62
  5. Step 5: Solve for x
    x = 117,447,663,251.62/396,133.61
  6. Step 6: Final answer
    x = 296,484.97

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1.5x scale

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.