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Finding the Fourth Proportional to 512,966.44, 772,951.03 and 421,520.68

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Solution

The fourth proportional to 512,966.44, 772,951.03 and 421,520.68 is: 635,158.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,966.44 : 772,951.03 = 421,520.68 : x
  2. Step 2: Convert to fraction form
    512,966.44/772,951.03 = 421,520.68/x
  3. Step 3: Cross multiply
    512,966.44x = 772,951.03 × 421,520.68
  4. Step 4: Simplify right side
    512,966.44x = 325,814,843,772.30
  5. Step 5: Solve for x
    x = 325,814,843,772.30/512,966.44
  6. Step 6: Final answer
    x = 635,158.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.