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Finding the Fourth Proportional to 647,228.70, 970,151.85 and 247,715.10

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Solution

The fourth proportional to 647,228.70, 970,151.85 and 247,715.10 is: 371,308.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,228.70 : 970,151.85 = 247,715.10 : x
  2. Step 2: Convert to fraction form
    647,228.70/970,151.85 = 247,715.10/x
  3. Step 3: Cross multiply
    647,228.70x = 970,151.85 × 247,715.10
  4. Step 4: Simplify right side
    647,228.70x = 240,321,262,537.94
  5. Step 5: Solve for x
    x = 240,321,262,537.94/647,228.70
  6. Step 6: Final answer
    x = 371,308.11

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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.