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Finding the Fourth Proportional to 647,251.56, 970,878.02 and 349,624.55

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Solution

The fourth proportional to 647,251.56, 970,878.02 and 349,624.55 is: 524,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,251.56 : 970,878.02 = 349,624.55 : x
  2. Step 2: Convert to fraction form
    647,251.56/970,878.02 = 349,624.55/x
  3. Step 3: Cross multiply
    647,251.56x = 970,878.02 × 349,624.55
  4. Step 4: Simplify right side
    647,251.56x = 339,442,790,847.39
  5. Step 5: Solve for x
    x = 339,442,790,847.39/647,251.56
  6. Step 6: Final answer
    x = 524,437.19

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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.