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Finding the Fourth Proportional to 412,507.25, 568,828.25 and 305,302.13

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Solution

The fourth proportional to 412,507.25, 568,828.25 and 305,302.13 is: 420,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,507.25 : 568,828.25 = 305,302.13 : x
  2. Step 2: Convert to fraction form
    412,507.25/568,828.25 = 305,302.13/x
  3. Step 3: Cross multiply
    412,507.25x = 568,828.25 × 305,302.13
  4. Step 4: Simplify right side
    412,507.25x = 173,664,474,802.66
  5. Step 5: Solve for x
    x = 173,664,474,802.66/412,507.25
  6. Step 6: Final answer
    x = 420,997.39

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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.