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Finding the Fourth Proportional to 378,391.77, 564,817.32 and 333,553.41

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Solution

The fourth proportional to 378,391.77, 564,817.32 and 333,553.41 is: 497,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,391.77 : 564,817.32 = 333,553.41 : x
  2. Step 2: Convert to fraction form
    378,391.77/564,817.32 = 333,553.41/x
  3. Step 3: Cross multiply
    378,391.77x = 564,817.32 × 333,553.41
  4. Step 4: Simplify right side
    378,391.77x = 188,396,743,113.06
  5. Step 5: Solve for x
    x = 188,396,743,113.06/378,391.77
  6. Step 6: Final answer
    x = 497,888.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.