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Finding the Fourth Proportional to 355,904.71, 491,148.55 and 194,759.79

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Solution

The fourth proportional to 355,904.71, 491,148.55 and 194,759.79 is: 268,768.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,904.71 : 491,148.55 = 194,759.79 : x
  2. Step 2: Convert to fraction form
    355,904.71/491,148.55 = 194,759.79/x
  3. Step 3: Cross multiply
    355,904.71x = 491,148.55 × 194,759.79
  4. Step 4: Simplify right side
    355,904.71x = 95,655,988,456.80
  5. Step 5: Solve for x
    x = 95,655,988,456.80/355,904.71
  6. Step 6: Final answer
    x = 268,768.54

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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.