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Finding the Fourth Proportional to 512,270.60, 768,405.90 and 263,438.60

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Solution

The fourth proportional to 512,270.60, 768,405.90 and 263,438.60 is: 395,157.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,270.60 : 768,405.90 = 263,438.60 : x
  2. Step 2: Convert to fraction form
    512,270.60/768,405.90 = 263,438.60/x
  3. Step 3: Cross multiply
    512,270.60x = 768,405.90 × 263,438.60
  4. Step 4: Simplify right side
    512,270.60x = 202,427,774,527.74
  5. Step 5: Solve for x
    x = 202,427,774,527.74/512,270.60
  6. Step 6: Final answer
    x = 395,157.90

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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.