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Finding the Fourth Proportional to 491,240, 677,911.20 and 279,272

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Solution

The fourth proportional to 491,240, 677,911.20 and 279,272 is: 385,395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,240 : 677,911.20 = 279,272 : x
  2. Step 2: Convert to fraction form
    491,240/677,911.20 = 279,272/x
  3. Step 3: Cross multiply
    491,240x = 677,911.20 × 279,272
  4. Step 4: Simplify right side
    491,240x = 189,321,616,646.40
  5. Step 5: Solve for x
    x = 189,321,616,646.40/491,240
  6. Step 6: Final answer
    x = 385,395.36

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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.