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Finding the Fourth Proportional to 356,426.92, 491,881.44 and 195,295.78

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Solution

The fourth proportional to 356,426.92, 491,881.44 and 195,295.78 is: 269,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,426.92 : 491,881.44 = 195,295.78 : x
  2. Step 2: Convert to fraction form
    356,426.92/491,881.44 = 195,295.78/x
  3. Step 3: Cross multiply
    356,426.92x = 491,881.44 × 195,295.78
  4. Step 4: Simplify right side
    356,426.92x = 96,062,369,492.32
  5. Step 5: Solve for x
    x = 96,062,369,492.32/356,426.92
  6. Step 6: Final answer
    x = 269,514.91

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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.