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Finding the Fourth Proportional to 379,346.94, 569,049.57 and 142,684.38

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Solution

The fourth proportional to 379,346.94, 569,049.57 and 142,684.38 is: 214,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,346.94 : 569,049.57 = 142,684.38 : x
  2. Step 2: Convert to fraction form
    379,346.94/569,049.57 = 142,684.38/x
  3. Step 3: Cross multiply
    379,346.94x = 569,049.57 × 142,684.38
  4. Step 4: Simplify right side
    379,346.94x = 81,194,485,084.72
  5. Step 5: Solve for x
    x = 81,194,485,084.72/379,346.94
  6. Step 6: Final answer
    x = 214,037.54

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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.