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Finding the Fourth Proportional to 366,498.27, 505,720.62 and 205,313.67

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Solution

The fourth proportional to 366,498.27, 505,720.62 and 205,313.67 is: 283,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,498.27 : 505,720.62 = 205,313.67 : x
  2. Step 2: Convert to fraction form
    366,498.27/505,720.62 = 205,313.67/x
  3. Step 3: Cross multiply
    366,498.27x = 505,720.62 × 205,313.67
  4. Step 4: Simplify right side
    366,498.27x = 103,831,356,486.88
  5. Step 5: Solve for x
    x = 103,831,356,486.88/366,498.27
  6. Step 6: Final answer
    x = 283,306.54

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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.