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Finding the Fourth Proportional to 494,763.53, 682,352.10 and 380,319.17

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Solution

The fourth proportional to 494,763.53, 682,352.10 and 380,319.17 is: 524,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,763.53 : 682,352.10 = 380,319.17 : x
  2. Step 2: Convert to fraction form
    494,763.53/682,352.10 = 380,319.17/x
  3. Step 3: Cross multiply
    494,763.53x = 682,352.10 × 380,319.17
  4. Step 4: Simplify right side
    494,763.53x = 259,511,580,908.00
  5. Step 5: Solve for x
    x = 259,511,580,908.00/494,763.53
  6. Step 6: Final answer
    x = 524,516.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.