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Finding the Fourth Proportional to 205,148.40, 307,722.60 and 202,383.60

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Solution

The fourth proportional to 205,148.40, 307,722.60 and 202,383.60 is: 303,575.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,148.40 : 307,722.60 = 202,383.60 : x
  2. Step 2: Convert to fraction form
    205,148.40/307,722.60 = 202,383.60/x
  3. Step 3: Cross multiply
    205,148.40x = 307,722.60 × 202,383.60
  4. Step 4: Simplify right side
    205,148.40x = 62,278,007,589.36
  5. Step 5: Solve for x
    x = 62,278,007,589.36/205,148.40
  6. Step 6: Final answer
    x = 303,575.40

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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.