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Finding the Fourth Proportional to 366,205.88, 505,407.24 and 205,029.78

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Solution

The fourth proportional to 366,205.88, 505,407.24 and 205,029.78 is: 282,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,205.88 : 505,407.24 = 205,029.78 : x
  2. Step 2: Convert to fraction form
    366,205.88/505,407.24 = 205,029.78/x
  3. Step 3: Cross multiply
    366,205.88x = 505,407.24 × 205,029.78
  4. Step 4: Simplify right side
    366,205.88x = 103,623,535,227.61
  5. Step 5: Solve for x
    x = 103,623,535,227.61/366,205.88
  6. Step 6: Final answer
    x = 282,965.25

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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.