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Finding the Fourth Proportional to 200,628.09, 300,981.47 and 74,269.31

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Solution

The fourth proportional to 200,628.09, 300,981.47 and 74,269.31 is: 111,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,628.09 : 300,981.47 = 74,269.31 : x
  2. Step 2: Convert to fraction form
    200,628.09/300,981.47 = 74,269.31/x
  3. Step 3: Cross multiply
    200,628.09x = 300,981.47 × 74,269.31
  4. Step 4: Simplify right side
    200,628.09x = 22,353,684,641.20
  5. Step 5: Solve for x
    x = 22,353,684,641.20/200,628.09
  6. Step 6: Final answer
    x = 111,418.52

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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.