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Finding the Fourth Proportional to 463,142.25, 639,136.31 and 251,174.25

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Solution

The fourth proportional to 463,142.25, 639,136.31 and 251,174.25 is: 346,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,142.25 : 639,136.31 = 251,174.25 : x
  2. Step 2: Convert to fraction form
    463,142.25/639,136.31 = 251,174.25/x
  3. Step 3: Cross multiply
    463,142.25x = 639,136.31 × 251,174.25
  4. Step 4: Simplify right side
    463,142.25x = 160,534,582,056.15
  5. Step 5: Solve for x
    x = 160,534,582,056.15/463,142.25
  6. Step 6: Final answer
    x = 346,620.47

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1.5x scale

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.