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Finding the Fourth Proportional to 366,499.77, 505,722.69 and 205,315.17

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Solution

The fourth proportional to 366,499.77, 505,722.69 and 205,315.17 is: 283,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,499.77 : 505,722.69 = 205,315.17 : x
  2. Step 2: Convert to fraction form
    366,499.77/505,722.69 = 205,315.17/x
  3. Step 3: Cross multiply
    366,499.77x = 505,722.69 × 205,315.17
  4. Step 4: Simplify right side
    366,499.77x = 103,832,540,070.21
  5. Step 5: Solve for x
    x = 103,832,540,070.21/366,499.77
  6. Step 6: Final answer
    x = 283,308.61

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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.