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Finding the Fourth Proportional to 644,422.60, 965,712.30 and 447,200.20

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Solution

The fourth proportional to 644,422.60, 965,712.30 and 447,200.20 is: 670,160.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,422.60 : 965,712.30 = 447,200.20 : x
  2. Step 2: Convert to fraction form
    644,422.60/965,712.30 = 447,200.20/x
  3. Step 3: Cross multiply
    644,422.60x = 965,712.30 × 447,200.20
  4. Step 4: Simplify right side
    644,422.60x = 431,866,733,702.46
  5. Step 5: Solve for x
    x = 431,866,733,702.46/644,422.60
  6. Step 6: Final answer
    x = 670,160.75

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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.