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Finding the Fourth Proportional to 814,002, 1,221,005.16 and 253,037.04

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Solution

The fourth proportional to 814,002, 1,221,005.16 and 253,037.04 is: 379,556.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    814,002 : 1,221,005.16 = 253,037.04 : x
  2. Step 2: Convert to fraction form
    814,002/1,221,005.16 = 253,037.04/x
  3. Step 3: Cross multiply
    814,002x = 1,221,005.16 × 253,037.04
  4. Step 4: Simplify right side
    814,002x = 308,959,531,511.13
  5. Step 5: Solve for x
    x = 308,959,531,511.13/814,002
  6. Step 6: Final answer
    x = 379,556.23

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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.