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Finding the Fourth Proportional to 513,245, 769,817.96 and 158,163.68

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Solution

The fourth proportional to 513,245, 769,817.96 and 158,163.68 is: 237,230.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,245 : 769,817.96 = 158,163.68 : x
  2. Step 2: Convert to fraction form
    513,245/769,817.96 = 158,163.68/x
  3. Step 3: Cross multiply
    513,245x = 769,817.96 × 158,163.68
  4. Step 4: Simplify right side
    513,245x = 121,757,241,483.69
  5. Step 5: Solve for x
    x = 121,757,241,483.69/513,245
  6. Step 6: Final answer
    x = 237,230.25

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1.5x scale

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.