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Finding the Fourth Proportional to 392,286.24, 539,656.20 and 343,669.23

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Solution

The fourth proportional to 392,286.24, 539,656.20 and 343,669.23 is: 472,775.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,286.24 : 539,656.20 = 343,669.23 : x
  2. Step 2: Convert to fraction form
    392,286.24/539,656.20 = 343,669.23/x
  3. Step 3: Cross multiply
    392,286.24x = 539,656.20 × 343,669.23
  4. Step 4: Simplify right side
    392,286.24x = 185,463,230,718.73
  5. Step 5: Solve for x
    x = 185,463,230,718.73/392,286.24
  6. Step 6: Final answer
    x = 472,775.26

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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.