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Finding the Fourth Proportional to 355,871.38, 491,102.51 and 194,726.43

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Solution

The fourth proportional to 355,871.38, 491,102.51 and 194,726.43 is: 268,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,871.38 : 491,102.51 = 194,726.43 : x
  2. Step 2: Convert to fraction form
    355,871.38/491,102.51 = 194,726.43/x
  3. Step 3: Cross multiply
    355,871.38x = 491,102.51 × 194,726.43
  4. Step 4: Simplify right side
    355,871.38x = 95,630,637,562.71
  5. Step 5: Solve for x
    x = 95,630,637,562.71/355,871.38
  6. Step 6: Final answer
    x = 268,722.47

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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.