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Finding the Fourth Proportional to 380,896.31, 570,941.63 and 140,855.96

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Solution

The fourth proportional to 380,896.31, 570,941.63 and 140,855.96 is: 211,134.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,896.31 : 570,941.63 = 140,855.96 : x
  2. Step 2: Convert to fraction form
    380,896.31/570,941.63 = 140,855.96/x
  3. Step 3: Cross multiply
    380,896.31x = 570,941.63 × 140,855.96
  4. Step 4: Simplify right side
    380,896.31x = 80,420,532,120.69
  5. Step 5: Solve for x
    x = 80,420,532,120.69/380,896.31
  6. Step 6: Final answer
    x = 211,134.98

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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.