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Finding the Fourth Proportional to 356,061.52, 491,207.88 and 212,749.84

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Solution

The fourth proportional to 356,061.52, 491,207.88 and 212,749.84 is: 293,500.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,061.52 : 491,207.88 = 212,749.84 : x
  2. Step 2: Convert to fraction form
    356,061.52/491,207.88 = 212,749.84/x
  3. Step 3: Cross multiply
    356,061.52x = 491,207.88 × 212,749.84
  4. Step 4: Simplify right side
    356,061.52x = 104,504,397,876.74
  5. Step 5: Solve for x
    x = 104,504,397,876.74/356,061.52
  6. Step 6: Final answer
    x = 293,500.96

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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.