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Finding the Fourth Proportional to 287,150.40, 430,755.84 and 100,163.52

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Solution

The fourth proportional to 287,150.40, 430,755.84 and 100,163.52 is: 150,255.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,150.40 : 430,755.84 = 100,163.52 : x
  2. Step 2: Convert to fraction form
    287,150.40/430,755.84 = 100,163.52/x
  3. Step 3: Cross multiply
    287,150.40x = 430,755.84 × 100,163.52
  4. Step 4: Simplify right side
    287,150.40x = 43,146,021,194.96
  5. Step 5: Solve for x
    x = 43,146,021,194.96/287,150.40
  6. Step 6: Final answer
    x = 150,255.83

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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.