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Finding the Fourth Proportional to 647,317.12, 970,765.76 and 247,936.64

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Solution

The fourth proportional to 647,317.12, 970,765.76 and 247,936.64 is: 371,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,317.12 : 970,765.76 = 247,936.64 : x
  2. Step 2: Convert to fraction form
    647,317.12/970,765.76 = 247,936.64/x
  3. Step 3: Cross multiply
    647,317.12x = 970,765.76 × 247,936.64
  4. Step 4: Simplify right side
    647,317.12x = 240,688,400,761.45
  5. Step 5: Solve for x
    x = 240,688,400,761.45/647,317.12
  6. Step 6: Final answer
    x = 371,824.56

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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.