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Finding the Fourth Proportional to 494,649.48, 741,987 and 134,823.29

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Solution

The fourth proportional to 494,649.48, 741,987 and 134,823.29 is: 202,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,649.48 : 741,987 = 134,823.29 : x
  2. Step 2: Convert to fraction form
    494,649.48/741,987 = 134,823.29/x
  3. Step 3: Cross multiply
    494,649.48x = 741,987 × 134,823.29
  4. Step 4: Simplify right side
    494,649.48x = 100,037,128,477.23
  5. Step 5: Solve for x
    x = 100,037,128,477.23/494,649.48
  6. Step 6: Final answer
    x = 202,238.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.