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Finding the Fourth Proportional to 305,308.52, 420,838.92 and 240,672.36

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Solution

The fourth proportional to 305,308.52, 420,838.92 and 240,672.36 is: 331,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,308.52 : 420,838.92 = 240,672.36 : x
  2. Step 2: Convert to fraction form
    305,308.52/420,838.92 = 240,672.36/x
  3. Step 3: Cross multiply
    305,308.52x = 420,838.92 × 240,672.36
  4. Step 4: Simplify right side
    305,308.52x = 101,284,296,056.25
  5. Step 5: Solve for x
    x = 101,284,296,056.25/305,308.52
  6. Step 6: Final answer
    x = 331,744.09

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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.