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Finding the Fourth Proportional to 643,961.80, 965,942.70 and 364,025.80

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Solution

The fourth proportional to 643,961.80, 965,942.70 and 364,025.80 is: 546,038.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,961.80 : 965,942.70 = 364,025.80 : x
  2. Step 2: Convert to fraction form
    643,961.80/965,942.70 = 364,025.80/x
  3. Step 3: Cross multiply
    643,961.80x = 965,942.70 × 364,025.80
  4. Step 4: Simplify right side
    643,961.80x = 351,628,064,121.66
  5. Step 5: Solve for x
    x = 351,628,064,121.66/643,961.80
  6. Step 6: Final answer
    x = 546,038.70

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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.