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Finding the Fourth Proportional to 656,529.20, 984,102.60 and 257,015.60

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Solution

The fourth proportional to 656,529.20, 984,102.60 and 257,015.60 is: 385,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,529.20 : 984,102.60 = 257,015.60 : x
  2. Step 2: Convert to fraction form
    656,529.20/984,102.60 = 257,015.60/x
  3. Step 3: Cross multiply
    656,529.20x = 984,102.60 × 257,015.60
  4. Step 4: Simplify right side
    656,529.20x = 252,929,720,200.56
  5. Step 5: Solve for x
    x = 252,929,720,200.56/656,529.20
  6. Step 6: Final answer
    x = 385,252.81

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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.