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Finding the Fourth Proportional to 643,817.53, 965,716.46 and 217,652.71

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Solution

The fourth proportional to 643,817.53, 965,716.46 and 217,652.71 is: 326,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,817.53 : 965,716.46 = 217,652.71 : x
  2. Step 2: Convert to fraction form
    643,817.53/965,716.46 = 217,652.71/x
  3. Step 3: Cross multiply
    643,817.53x = 965,716.46 × 217,652.71
  4. Step 4: Simplify right side
    643,817.53x = 210,190,804,610.61
  5. Step 5: Solve for x
    x = 210,190,804,610.61/643,817.53
  6. Step 6: Final answer
    x = 326,475.74

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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.