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Finding the Fourth Proportional to 366,504.78, 505,729.58 and 205,320.18

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Solution

The fourth proportional to 366,504.78, 505,729.58 and 205,320.18 is: 283,315.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,504.78 : 505,729.58 = 205,320.18 : x
  2. Step 2: Convert to fraction form
    366,504.78/505,729.58 = 205,320.18/x
  3. Step 3: Cross multiply
    366,504.78x = 505,729.58 × 205,320.18
  4. Step 4: Simplify right side
    366,504.78x = 103,836,488,396.92
  5. Step 5: Solve for x
    x = 103,836,488,396.92/366,504.78
  6. Step 6: Final answer
    x = 283,315.51

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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.