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Finding the Fourth Proportional to 647,030.80, 970,546.20 and 547,385.61

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Solution

The fourth proportional to 647,030.80, 970,546.20 and 547,385.61 is: 821,078.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,030.80 : 970,546.20 = 547,385.61 : x
  2. Step 2: Convert to fraction form
    647,030.80/970,546.20 = 547,385.61/x
  3. Step 3: Cross multiply
    647,030.80x = 970,546.20 × 547,385.61
  4. Step 4: Simplify right side
    647,030.80x = 531,263,023,720.18
  5. Step 5: Solve for x
    x = 531,263,023,720.18/647,030.80
  6. Step 6: Final answer
    x = 821,078.42

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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.