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Finding the Fourth Proportional to 647,029.80, 970,544.70 and 547,384.61

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Solution

The fourth proportional to 647,029.80, 970,544.70 and 547,384.61 is: 821,076.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,029.80 : 970,544.70 = 547,384.61 : x
  2. Step 2: Convert to fraction form
    647,029.80/970,544.70 = 547,384.61/x
  3. Step 3: Cross multiply
    647,029.80x = 970,544.70 × 547,384.61
  4. Step 4: Simplify right side
    647,029.80x = 531,261,234,523.43
  5. Step 5: Solve for x
    x = 531,261,234,523.43/647,029.80
  6. Step 6: Final answer
    x = 821,076.92

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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.