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Finding the Fourth Proportional to 307,223.75, 423,728.42 and 199,828.08

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Solution

The fourth proportional to 307,223.75, 423,728.42 and 199,828.08 is: 275,606.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,223.75 : 423,728.42 = 199,828.08 : x
  2. Step 2: Convert to fraction form
    307,223.75/423,728.42 = 199,828.08/x
  3. Step 3: Cross multiply
    307,223.75x = 423,728.42 × 199,828.08
  4. Step 4: Simplify right side
    307,223.75x = 84,672,835,610.89
  5. Step 5: Solve for x
    x = 84,672,835,610.89/307,223.75
  6. Step 6: Final answer
    x = 275,606.41

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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.