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Finding the Fourth Proportional to 510,212.60, 764,662.80 and 310,320.80

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Solution

The fourth proportional to 510,212.60, 764,662.80 and 310,320.80 is: 465,082.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,212.60 : 764,662.80 = 310,320.80 : x
  2. Step 2: Convert to fraction form
    510,212.60/764,662.80 = 310,320.80/x
  3. Step 3: Cross multiply
    510,212.60x = 764,662.80 × 310,320.80
  4. Step 4: Simplify right side
    510,212.60x = 237,290,771,826.24
  5. Step 5: Solve for x
    x = 237,290,771,826.24/510,212.60
  6. Step 6: Final answer
    x = 465,082.15

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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.