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Finding the Fourth Proportional to 371,781.72, 513,057.81 and 202,015.86

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Solution

The fourth proportional to 371,781.72, 513,057.81 and 202,015.86 is: 278,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,781.72 : 513,057.81 = 202,015.86 : x
  2. Step 2: Convert to fraction form
    371,781.72/513,057.81 = 202,015.86/x
  3. Step 3: Cross multiply
    371,781.72x = 513,057.81 × 202,015.86
  4. Step 4: Simplify right side
    371,781.72x = 103,645,814,716.87
  5. Step 5: Solve for x
    x = 103,645,814,716.87/371,781.72
  6. Step 6: Final answer
    x = 278,781.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.