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Finding the Fourth Proportional to 643,679.60, 965,519.40 and 420,857.20

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Solution

The fourth proportional to 643,679.60, 965,519.40 and 420,857.20 is: 631,285.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,679.60 : 965,519.40 = 420,857.20 : x
  2. Step 2: Convert to fraction form
    643,679.60/965,519.40 = 420,857.20/x
  3. Step 3: Cross multiply
    643,679.60x = 965,519.40 × 420,857.20
  4. Step 4: Simplify right side
    643,679.60x = 406,345,791,229.68
  5. Step 5: Solve for x
    x = 406,345,791,229.68/643,679.60
  6. Step 6: Final answer
    x = 631,285.80

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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.