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Finding the Fourth Proportional to 392,847.54, 542,142.63 and 220,795.44

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Solution

The fourth proportional to 392,847.54, 542,142.63 and 220,795.44 is: 304,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,847.54 : 542,142.63 = 220,795.44 : x
  2. Step 2: Convert to fraction form
    392,847.54/542,142.63 = 220,795.44/x
  3. Step 3: Cross multiply
    392,847.54x = 542,142.63 × 220,795.44
  4. Step 4: Simplify right side
    392,847.54x = 119,702,620,533.61
  5. Step 5: Solve for x
    x = 119,702,620,533.61/392,847.54
  6. Step 6: Final answer
    x = 304,705.03

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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.