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Finding the Fourth Proportional to 356,108.85, 491,431.65 and 194,978.89

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Solution

The fourth proportional to 356,108.85, 491,431.65 and 194,978.89 is: 269,071.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,108.85 : 491,431.65 = 194,978.89 : x
  2. Step 2: Convert to fraction form
    356,108.85/491,431.65 = 194,978.89/x
  3. Step 3: Cross multiply
    356,108.85x = 491,431.65 × 194,978.89
  4. Step 4: Simplify right side
    356,108.85x = 95,818,797,627.87
  5. Step 5: Solve for x
    x = 95,818,797,627.87/356,108.85
  6. Step 6: Final answer
    x = 269,071.65

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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.