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Finding the Fourth Proportional to 202,398.80, 303,569.52 and 127,289.84

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Solution

The fourth proportional to 202,398.80, 303,569.52 and 127,289.84 is: 190,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,398.80 : 303,569.52 = 127,289.84 : x
  2. Step 2: Convert to fraction form
    202,398.80/303,569.52 = 127,289.84/x
  3. Step 3: Cross multiply
    202,398.80x = 303,569.52 × 127,289.84
  4. Step 4: Simplify right side
    202,398.80x = 38,641,315,629.68
  5. Step 5: Solve for x
    x = 38,641,315,629.68/202,398.80
  6. Step 6: Final answer
    x = 190,916.72

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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.