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Finding the Fourth Proportional to 371,552.86, 512,745.96 and 201,788.20

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Solution

The fourth proportional to 371,552.86, 512,745.96 and 201,788.20 is: 278,469.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,552.86 : 512,745.96 = 201,788.20 : x
  2. Step 2: Convert to fraction form
    371,552.86/512,745.96 = 201,788.20/x
  3. Step 3: Cross multiply
    371,552.86x = 512,745.96 × 201,788.20
  4. Step 4: Simplify right side
    371,552.86x = 103,466,084,325.67
  5. Step 5: Solve for x
    x = 103,466,084,325.67/371,552.86
  6. Step 6: Final answer
    x = 278,469.35

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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.