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Finding the Fourth Proportional to 356,407.61, 491,842.89 and 195,272.96

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Solution

The fourth proportional to 356,407.61, 491,842.89 and 195,272.96 is: 269,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,407.61 : 491,842.89 = 195,272.96 : x
  2. Step 2: Convert to fraction form
    356,407.61/491,842.89 = 195,272.96/x
  3. Step 3: Cross multiply
    356,407.61x = 491,842.89 × 195,272.96
  4. Step 4: Simplify right side
    356,407.61x = 96,043,614,526.04
  5. Step 5: Solve for x
    x = 96,043,614,526.04/356,407.61
  6. Step 6: Final answer
    x = 269,476.89

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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.