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Finding the Fourth Proportional to 347,678.74, 479,714.43 and 196,775.74

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Solution

The fourth proportional to 347,678.74, 479,714.43 and 196,775.74 is: 271,503.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,678.74 : 479,714.43 = 196,775.74 : x
  2. Step 2: Convert to fraction form
    347,678.74/479,714.43 = 196,775.74/x
  3. Step 3: Cross multiply
    347,678.74x = 479,714.43 × 196,775.74
  4. Step 4: Simplify right side
    347,678.74x = 94,396,161,951.93
  5. Step 5: Solve for x
    x = 94,396,161,951.93/347,678.74
  6. Step 6: Final answer
    x = 271,503.98

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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.