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Finding the Fourth Proportional to 371,774.31, 513,051.69 and 202,008.43

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Solution

The fourth proportional to 371,774.31, 513,051.69 and 202,008.43 is: 278,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,774.31 : 513,051.69 = 202,008.43 : x
  2. Step 2: Convert to fraction form
    371,774.31/513,051.69 = 202,008.43/x
  3. Step 3: Cross multiply
    371,774.31x = 513,051.69 × 202,008.43
  4. Step 4: Simplify right side
    371,774.31x = 103,640,766,405.75
  5. Step 5: Solve for x
    x = 103,640,766,405.75/371,774.31
  6. Step 6: Final answer
    x = 278,773.34

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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.