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Finding the Fourth Proportional to 355,970.70, 491,239.76 and 194,825.66

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Solution

The fourth proportional to 355,970.70, 491,239.76 and 194,825.66 is: 268,859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,970.70 : 491,239.76 = 194,825.66 : x
  2. Step 2: Convert to fraction form
    355,970.70/491,239.76 = 194,825.66/x
  3. Step 3: Cross multiply
    355,970.70x = 491,239.76 × 194,825.66
  4. Step 4: Simplify right side
    355,970.70x = 95,706,107,029.91
  5. Step 5: Solve for x
    x = 95,706,107,029.91/355,970.70
  6. Step 6: Final answer
    x = 268,859.51

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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.