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Finding the Fourth Proportional to 396,079.74, 546,590.18 and 214,791.61

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Solution

The fourth proportional to 396,079.74, 546,590.18 and 214,791.61 is: 296,412.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,079.74 : 546,590.18 = 214,791.61 : x
  2. Step 2: Convert to fraction form
    396,079.74/546,590.18 = 214,791.61/x
  3. Step 3: Cross multiply
    396,079.74x = 546,590.18 × 214,791.61
  4. Step 4: Simplify right side
    396,079.74x = 117,402,984,772.39
  5. Step 5: Solve for x
    x = 117,402,984,772.39/396,079.74
  6. Step 6: Final answer
    x = 296,412.50

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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.