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Finding the Fourth Proportional to 647,319.87, 970,944.41 and 198,040.70

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Solution

The fourth proportional to 647,319.87, 970,944.41 and 198,040.70 is: 297,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,319.87 : 970,944.41 = 198,040.70 : x
  2. Step 2: Convert to fraction form
    647,319.87/970,944.41 = 198,040.70/x
  3. Step 3: Cross multiply
    647,319.87x = 970,944.41 × 198,040.70
  4. Step 4: Simplify right side
    647,319.87x = 192,286,513,539.95
  5. Step 5: Solve for x
    x = 192,286,513,539.95/647,319.87
  6. Step 6: Final answer
    x = 297,050.23

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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.