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Finding the Fourth Proportional to 404,520, 558,237.84 and 225,672

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Solution

The fourth proportional to 404,520, 558,237.84 and 225,672 is: 311,427.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,520 : 558,237.84 = 225,672 : x
  2. Step 2: Convert to fraction form
    404,520/558,237.84 = 225,672/x
  3. Step 3: Cross multiply
    404,520x = 558,237.84 × 225,672
  4. Step 4: Simplify right side
    404,520x = 125,978,649,828.48
  5. Step 5: Solve for x
    x = 125,978,649,828.48/404,520
  6. Step 6: Final answer
    x = 311,427.49

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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.