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Finding the Fourth Proportional to 647,083.40, 970,625.10 and 411,470.60

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Solution

The fourth proportional to 647,083.40, 970,625.10 and 411,470.60 is: 617,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,083.40 : 970,625.10 = 411,470.60 : x
  2. Step 2: Convert to fraction form
    647,083.40/970,625.10 = 411,470.60/x
  3. Step 3: Cross multiply
    647,083.40x = 970,625.10 × 411,470.60
  4. Step 4: Simplify right side
    647,083.40x = 399,383,692,272.06
  5. Step 5: Solve for x
    x = 399,383,692,272.06/647,083.40
  6. Step 6: Final answer
    x = 617,205.90

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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.