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Finding the Fourth Proportional to 510,104.60, 764,500.80 and 310,212.80

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Solution

The fourth proportional to 510,104.60, 764,500.80 and 310,212.80 is: 464,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,104.60 : 764,500.80 = 310,212.80 : x
  2. Step 2: Convert to fraction form
    510,104.60/764,500.80 = 310,212.80/x
  3. Step 3: Cross multiply
    510,104.60x = 764,500.80 × 310,212.80
  4. Step 4: Simplify right side
    510,104.60x = 237,157,933,770.24
  5. Step 5: Solve for x
    x = 237,157,933,770.24/510,104.60
  6. Step 6: Final answer
    x = 464,920.20

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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.