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Finding the Fourth Proportional to 533,205.05, 731,906.22 and 471,422.30

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Solution

The fourth proportional to 533,205.05, 731,906.22 and 471,422.30 is: 647,099.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,205.05 : 731,906.22 = 471,422.30 : x
  2. Step 2: Convert to fraction form
    533,205.05/731,906.22 = 471,422.30/x
  3. Step 3: Cross multiply
    533,205.05x = 731,906.22 × 471,422.30
  4. Step 4: Simplify right side
    533,205.05x = 345,036,911,259.60
  5. Step 5: Solve for x
    x = 345,036,911,259.60/533,205.05
  6. Step 6: Final answer
    x = 647,099.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.