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Finding the Fourth Proportional to 371,774.43, 513,051.86 and 202,008.56

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Solution

The fourth proportional to 371,774.43, 513,051.86 and 202,008.56 is: 278,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,774.43 : 513,051.86 = 202,008.56 : x
  2. Step 2: Convert to fraction form
    371,774.43/513,051.86 = 202,008.56/x
  3. Step 3: Cross multiply
    371,774.43x = 513,051.86 × 202,008.56
  4. Step 4: Simplify right side
    371,774.43x = 103,640,865,383.68
  5. Step 5: Solve for x
    x = 103,640,865,383.68/371,774.43
  6. Step 6: Final answer
    x = 278,773.52

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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.