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Finding the Fourth Proportional to 523,469.02, 722,203.30 and 342,287

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Solution

The fourth proportional to 523,469.02, 722,203.30 and 342,287 is: 472,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,469.02 : 722,203.30 = 342,287 : x
  2. Step 2: Convert to fraction form
    523,469.02/722,203.30 = 342,287/x
  3. Step 3: Cross multiply
    523,469.02x = 722,203.30 × 342,287
  4. Step 4: Simplify right side
    523,469.02x = 247,200,800,947.10
  5. Step 5: Solve for x
    x = 247,200,800,947.10/523,469.02
  6. Step 6: Final answer
    x = 472,235.78

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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.