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Finding the Fourth Proportional to 632,756.72, 949,124.10 and 159,431.60

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Solution

The fourth proportional to 632,756.72, 949,124.10 and 159,431.60 is: 239,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,756.72 : 949,124.10 = 159,431.60 : x
  2. Step 2: Convert to fraction form
    632,756.72/949,124.10 = 159,431.60/x
  3. Step 3: Cross multiply
    632,756.72x = 949,124.10 × 159,431.60
  4. Step 4: Simplify right side
    632,756.72x = 151,320,373,861.56
  5. Step 5: Solve for x
    x = 151,320,373,861.56/632,756.72
  6. Step 6: Final answer
    x = 239,144.63

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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.