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Finding the Fourth Proportional to 379,504.46, 569,338.65 and 142,846.44

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Solution

The fourth proportional to 379,504.46, 569,338.65 and 142,846.44 is: 214,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,504.46 : 569,338.65 = 142,846.44 : x
  2. Step 2: Convert to fraction form
    379,504.46/569,338.65 = 142,846.44/x
  3. Step 3: Cross multiply
    379,504.46x = 569,338.65 × 142,846.44
  4. Step 4: Simplify right side
    379,504.46x = 81,327,999,306.91
  5. Step 5: Solve for x
    x = 81,327,999,306.91/379,504.46
  6. Step 6: Final answer
    x = 214,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.