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Finding the Fourth Proportional to 365,990.56, 505,066.89 and 204,845.60

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Solution

The fourth proportional to 365,990.56, 505,066.89 and 204,845.60 is: 282,686.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,990.56 : 505,066.89 = 204,845.60 : x
  2. Step 2: Convert to fraction form
    365,990.56/505,066.89 = 204,845.60/x
  3. Step 3: Cross multiply
    365,990.56x = 505,066.89 × 204,845.60
  4. Step 4: Simplify right side
    365,990.56x = 103,460,730,122.18
  5. Step 5: Solve for x
    x = 103,460,730,122.18/365,990.56
  6. Step 6: Final answer
    x = 282,686.88

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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.