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Finding the Fourth Proportional to 379,978, 524,578.92 and 284,450.32

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Solution

The fourth proportional to 379,978, 524,578.92 and 284,450.32 is: 392,698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,978 : 524,578.92 = 284,450.32 : x
  2. Step 2: Convert to fraction form
    379,978/524,578.92 = 284,450.32/x
  3. Step 3: Cross multiply
    379,978x = 524,578.92 × 284,450.32
  4. Step 4: Simplify right side
    379,978x = 149,216,641,659.25
  5. Step 5: Solve for x
    x = 149,216,641,659.25/379,978
  6. Step 6: Final answer
    x = 392,698.11

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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.