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Finding the Fourth Proportional to 307,765.94, 424,738.48 and 171,826.60

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Solution

The fourth proportional to 307,765.94, 424,738.48 and 171,826.60 is: 237,132.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,765.94 : 424,738.48 = 171,826.60 : x
  2. Step 2: Convert to fraction form
    307,765.94/424,738.48 = 171,826.60/x
  3. Step 3: Cross multiply
    307,765.94x = 424,738.48 × 171,826.60
  4. Step 4: Simplify right side
    307,765.94x = 72,981,368,907.57
  5. Step 5: Solve for x
    x = 72,981,368,907.57/307,765.94
  6. Step 6: Final answer
    x = 237,132.70

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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.