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Finding the Fourth Proportional to 355,840.78, 491,074.92 and 194,709.91

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Solution

The fourth proportional to 355,840.78, 491,074.92 and 194,709.91 is: 268,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,840.78 : 491,074.92 = 194,709.91 : x
  2. Step 2: Convert to fraction form
    355,840.78/491,074.92 = 194,709.91/x
  3. Step 3: Cross multiply
    355,840.78x = 491,074.92 × 194,709.91
  4. Step 4: Simplify right side
    355,840.78x = 95,617,153,476.46
  5. Step 5: Solve for x
    x = 95,617,153,476.46/355,840.78
  6. Step 6: Final answer
    x = 268,707.69

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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.