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Finding the Fourth Proportional to 420,824, 580,754.40 and 241,976

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Solution

The fourth proportional to 420,824, 580,754.40 and 241,976 is: 333,936.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,824 : 580,754.40 = 241,976 : x
  2. Step 2: Convert to fraction form
    420,824/580,754.40 = 241,976/x
  3. Step 3: Cross multiply
    420,824x = 580,754.40 × 241,976
  4. Step 4: Simplify right side
    420,824x = 140,528,626,694.40
  5. Step 5: Solve for x
    x = 140,528,626,694.40/420,824
  6. Step 6: Final answer
    x = 333,936.82

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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.