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Finding the Fourth Proportional to 1,189,135, 1,640,320 and 758,930.23

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Solution

The fourth proportional to 1,189,135, 1,640,320 and 758,930.23 is: 1,046,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189,135 : 1,640,320 = 758,930.23 : x
  2. Step 2: Convert to fraction form
    1,189,135/1,640,320 = 758,930.23/x
  3. Step 3: Cross multiply
    1,189,135x = 1,640,320 × 758,930.23
  4. Step 4: Simplify right side
    1,189,135x = 1,244,888,434,873.60
  5. Step 5: Solve for x
    x = 1,244,888,434,873.60/1,189,135
  6. Step 6: Final answer
    x = 1,046,885.71

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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.