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Finding the Fourth Proportional to 408,912.50, 613,921.88 and 282,237.82

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Solution

The fourth proportional to 408,912.50, 613,921.88 and 282,237.82 is: 423,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,912.50 : 613,921.88 = 282,237.82 : x
  2. Step 2: Convert to fraction form
    408,912.50/613,921.88 = 282,237.82/x
  3. Step 3: Cross multiply
    408,912.50x = 613,921.88 × 282,237.82
  4. Step 4: Simplify right side
    408,912.50x = 173,271,972,232.29
  5. Step 5: Solve for x
    x = 173,271,972,232.29/408,912.50
  6. Step 6: Final answer
    x = 423,738.50

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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.