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Finding the Fourth Proportional to 510,709.86, 764,198.55 and 300,446.82

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Solution

The fourth proportional to 510,709.86, 764,198.55 and 300,446.82 is: 449,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,709.86 : 764,198.55 = 300,446.82 : x
  2. Step 2: Convert to fraction form
    510,709.86/764,198.55 = 300,446.82/x
  3. Step 3: Cross multiply
    510,709.86x = 764,198.55 × 300,446.82
  4. Step 4: Simplify right side
    510,709.86x = 229,601,024,196.11
  5. Step 5: Solve for x
    x = 229,601,024,196.11/510,709.86
  6. Step 6: Final answer
    x = 449,572.33

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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.