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Finding the Fourth Proportional to 347,400, 479,412.16 and 196,493.76

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Solution

The fourth proportional to 347,400, 479,412.16 and 196,493.76 is: 271,161.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,400 : 479,412.16 = 196,493.76 : x
  2. Step 2: Convert to fraction form
    347,400/479,412.16 = 196,493.76/x
  3. Step 3: Cross multiply
    347,400x = 479,412.16 × 196,493.76
  4. Step 4: Simplify right side
    347,400x = 94,201,497,908.12
  5. Step 5: Solve for x
    x = 94,201,497,908.12/347,400
  6. Step 6: Final answer
    x = 271,161.48

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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.