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Finding the Fourth Proportional to 329,834.10, 494,751.15 and 300,309.60

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Solution

The fourth proportional to 329,834.10, 494,751.15 and 300,309.60 is: 450,464.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,834.10 : 494,751.15 = 300,309.60 : x
  2. Step 2: Convert to fraction form
    329,834.10/494,751.15 = 300,309.60/x
  3. Step 3: Cross multiply
    329,834.10x = 494,751.15 × 300,309.60
  4. Step 4: Simplify right side
    329,834.10x = 148,578,519,956.04
  5. Step 5: Solve for x
    x = 148,578,519,956.04/329,834.10
  6. Step 6: Final answer
    x = 450,464.40

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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.