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Finding the Fourth Proportional to 643,817.59, 965,716.54 and 217,652.76

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Solution

The fourth proportional to 643,817.59, 965,716.54 and 217,652.76 is: 326,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,817.59 : 965,716.54 = 217,652.76 : x
  2. Step 2: Convert to fraction form
    643,817.59/965,716.54 = 217,652.76/x
  3. Step 3: Cross multiply
    643,817.59x = 965,716.54 × 217,652.76
  4. Step 4: Simplify right side
    643,817.59x = 210,190,869,764.52
  5. Step 5: Solve for x
    x = 210,190,869,764.52/643,817.59
  6. Step 6: Final answer
    x = 326,475.81

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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.