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Finding the Fourth Proportional to 366,309.52, 505,392.36 and 205,142.80

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Solution

The fourth proportional to 366,309.52, 505,392.36 and 205,142.80 is: 283,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,309.52 : 505,392.36 = 205,142.80 : x
  2. Step 2: Convert to fraction form
    366,309.52/505,392.36 = 205,142.80/x
  3. Step 3: Cross multiply
    366,309.52x = 505,392.36 × 205,142.80
  4. Step 4: Simplify right side
    366,309.52x = 103,677,603,829.01
  5. Step 5: Solve for x
    x = 103,677,603,829.01/366,309.52
  6. Step 6: Final answer
    x = 283,032.79

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1.5x scale

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.