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Finding the Fourth Proportional to 510,722.36, 764,217.30 and 300,459.32

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Solution

The fourth proportional to 510,722.36, 764,217.30 and 300,459.32 is: 449,591.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,722.36 : 764,217.30 = 300,459.32 : x
  2. Step 2: Convert to fraction form
    510,722.36/764,217.30 = 300,459.32/x
  3. Step 3: Cross multiply
    510,722.36x = 764,217.30 × 300,459.32
  4. Step 4: Simplify right side
    510,722.36x = 229,616,210,290.24
  5. Step 5: Solve for x
    x = 229,616,210,290.24/510,722.36
  6. Step 6: Final answer
    x = 449,591.07

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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.