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Finding the Fourth Proportional to 356,302.74, 491,698 and 195,157.74

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Solution

The fourth proportional to 356,302.74, 491,698 and 195,157.74 is: 269,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,302.74 : 491,698 = 195,157.74 : x
  2. Step 2: Convert to fraction form
    356,302.74/491,698 = 195,157.74/x
  3. Step 3: Cross multiply
    356,302.74x = 491,698 × 195,157.74
  4. Step 4: Simplify right side
    356,302.74x = 95,958,670,442.52
  5. Step 5: Solve for x
    x = 95,958,670,442.52/356,302.74
  6. Step 6: Final answer
    x = 269,317.80

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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.