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Finding the Fourth Proportional to 787,342, 1,181,200.32 and 254,863.12

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Solution

The fourth proportional to 787,342, 1,181,200.32 and 254,863.12 is: 382,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,342 : 1,181,200.32 = 254,863.12 : x
  2. Step 2: Convert to fraction form
    787,342/1,181,200.32 = 254,863.12/x
  3. Step 3: Cross multiply
    787,342x = 1,181,200.32 × 254,863.12
  4. Step 4: Simplify right side
    787,342x = 301,044,398,900.20
  5. Step 5: Solve for x
    x = 301,044,398,900.20/787,342
  6. Step 6: Final answer
    x = 382,355.32

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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.