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Finding the Fourth Proportional to 494,751.98, 682,336.28 and 380,307.64

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Solution

The fourth proportional to 494,751.98, 682,336.28 and 380,307.64 is: 524,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,751.98 : 682,336.28 = 380,307.64 : x
  2. Step 2: Convert to fraction form
    494,751.98/682,336.28 = 380,307.64/x
  3. Step 3: Cross multiply
    494,751.98x = 682,336.28 × 380,307.64
  4. Step 4: Simplify right side
    494,751.98x = 259,497,700,333.18
  5. Step 5: Solve for x
    x = 259,497,700,333.18/494,751.98
  6. Step 6: Final answer
    x = 524,500.58

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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.