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Finding the Fourth Proportional to 380,997.70, 570,375.45 and 254,323.75

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Solution

The fourth proportional to 380,997.70, 570,375.45 and 254,323.75 is: 380,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,997.70 : 570,375.45 = 254,323.75 : x
  2. Step 2: Convert to fraction form
    380,997.70/570,375.45 = 254,323.75/x
  3. Step 3: Cross multiply
    380,997.70x = 570,375.45 × 254,323.75
  4. Step 4: Simplify right side
    380,997.70x = 145,060,022,280.17
  5. Step 5: Solve for x
    x = 145,060,022,280.17/380,997.70
  6. Step 6: Final answer
    x = 380,737.26

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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.