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Finding the Fourth Proportional to 643,814.75, 965,712.29 and 217,649.93

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Solution

The fourth proportional to 643,814.75, 965,712.29 and 217,649.93 is: 326,471.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,814.75 : 965,712.29 = 217,649.93 : x
  2. Step 2: Convert to fraction form
    643,814.75/965,712.29 = 217,649.93/x
  3. Step 3: Cross multiply
    643,814.75x = 965,712.29 × 217,649.93
  4. Step 4: Simplify right side
    643,814.75x = 210,187,210,342.18
  5. Step 5: Solve for x
    x = 210,187,210,342.18/643,814.75
  6. Step 6: Final answer
    x = 326,471.57

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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.