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Finding the Fourth Proportional to 371,650.31, 512,978.74 and 218,737.56

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Solution

The fourth proportional to 371,650.31, 512,978.74 and 218,737.56 is: 301,917.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,650.31 : 512,978.74 = 218,737.56 : x
  2. Step 2: Convert to fraction form
    371,650.31/512,978.74 = 218,737.56/x
  3. Step 3: Cross multiply
    371,650.31x = 512,978.74 × 218,737.56
  4. Step 4: Simplify right side
    371,650.31x = 112,207,719,296.30
  5. Step 5: Solve for x
    x = 112,207,719,296.30/371,650.31
  6. Step 6: Final answer
    x = 301,917.47

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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.