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Finding the Fourth Proportional to 404,476, 558,194.16 and 225,628

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Solution

The fourth proportional to 404,476, 558,194.16 and 225,628 is: 311,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,476 : 558,194.16 = 225,628 : x
  2. Step 2: Convert to fraction form
    404,476/558,194.16 = 225,628/x
  3. Step 3: Cross multiply
    404,476x = 558,194.16 × 225,628
  4. Step 4: Simplify right side
    404,476x = 125,944,231,932.48
  5. Step 5: Solve for x
    x = 125,944,231,932.48/404,476
  6. Step 6: Final answer
    x = 311,376.28

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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.