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Finding the Fourth Proportional to 273,386.80, 410,080.20 and 205,480.45

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Solution

The fourth proportional to 273,386.80, 410,080.20 and 205,480.45 is: 308,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,386.80 : 410,080.20 = 205,480.45 : x
  2. Step 2: Convert to fraction form
    273,386.80/410,080.20 = 205,480.45/x
  3. Step 3: Cross multiply
    273,386.80x = 410,080.20 × 205,480.45
  4. Step 4: Simplify right side
    273,386.80x = 84,263,464,032.09
  5. Step 5: Solve for x
    x = 84,263,464,032.09/273,386.80
  6. Step 6: Final answer
    x = 308,220.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.