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Finding the Fourth Proportional to 379,014.67, 523,026.52 and 206,929.47

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Solution

The fourth proportional to 379,014.67, 523,026.52 and 206,929.47 is: 285,555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,014.67 : 523,026.52 = 206,929.47 : x
  2. Step 2: Convert to fraction form
    379,014.67/523,026.52 = 206,929.47/x
  3. Step 3: Cross multiply
    379,014.67x = 523,026.52 × 206,929.47
  4. Step 4: Simplify right side
    379,014.67x = 108,229,599,633.17
  5. Step 5: Solve for x
    x = 108,229,599,633.17/379,014.67
  6. Step 6: Final answer
    x = 285,555.17

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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.