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Finding the Fourth Proportional to 347,394.60, 479,370.66 and 194,423.66

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Solution

The fourth proportional to 347,394.60, 479,370.66 and 194,423.66 is: 268,285.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,394.60 : 479,370.66 = 194,423.66 : x
  2. Step 2: Convert to fraction form
    347,394.60/479,370.66 = 194,423.66/x
  3. Step 3: Cross multiply
    347,394.60x = 479,370.66 × 194,423.66
  4. Step 4: Simplify right side
    347,394.60x = 93,200,998,213.82
  5. Step 5: Solve for x
    x = 93,200,998,213.82/347,394.60
  6. Step 6: Final answer
    x = 268,285.68

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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.