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Finding the Fourth Proportional to 374,580.06, 561,855.12 and 206,433.78

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Solution

The fourth proportional to 374,580.06, 561,855.12 and 206,433.78 is: 309,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,580.06 : 561,855.12 = 206,433.78 : x
  2. Step 2: Convert to fraction form
    374,580.06/561,855.12 = 206,433.78/x
  3. Step 3: Cross multiply
    374,580.06x = 561,855.12 × 206,433.78
  4. Step 4: Simplify right side
    374,580.06x = 115,985,876,233.95
  5. Step 5: Solve for x
    x = 115,985,876,233.95/374,580.06
  6. Step 6: Final answer
    x = 309,642.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.