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Finding the Fourth Proportional to 431,394.80, 647,476.20 and 253,679.60

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Solution

The fourth proportional to 431,394.80, 647,476.20 and 253,679.60 is: 380,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,394.80 : 647,476.20 = 253,679.60 : x
  2. Step 2: Convert to fraction form
    431,394.80/647,476.20 = 253,679.60/x
  3. Step 3: Cross multiply
    431,394.80x = 647,476.20 × 253,679.60
  4. Step 4: Simplify right side
    431,394.80x = 164,251,503,425.52
  5. Step 5: Solve for x
    x = 164,251,503,425.52/431,394.80
  6. Step 6: Final answer
    x = 380,745.21

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1.5x scale

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.