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Finding the Fourth Proportional to 396,213.88, 546,772.80 and 214,926.16

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Solution

The fourth proportional to 396,213.88, 546,772.80 and 214,926.16 is: 296,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,213.88 : 546,772.80 = 214,926.16 : x
  2. Step 2: Convert to fraction form
    396,213.88/546,772.80 = 214,926.16/x
  3. Step 3: Cross multiply
    396,213.88x = 546,772.80 × 214,926.16
  4. Step 4: Simplify right side
    396,213.88x = 117,515,778,296.45
  5. Step 5: Solve for x
    x = 117,515,778,296.45/396,213.88
  6. Step 6: Final answer
    x = 296,596.82

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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.