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Finding the Fourth Proportional to 262,912.40, 394,222.80 and 104,962.40

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Solution

The fourth proportional to 262,912.40, 394,222.80 and 104,962.40 is: 157,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,912.40 : 394,222.80 = 104,962.40 : x
  2. Step 2: Convert to fraction form
    262,912.40/394,222.80 = 104,962.40/x
  3. Step 3: Cross multiply
    262,912.40x = 394,222.80 × 104,962.40
  4. Step 4: Simplify right side
    262,912.40x = 41,378,571,222.72
  5. Step 5: Solve for x
    x = 41,378,571,222.72/262,912.40
  6. Step 6: Final answer
    x = 157,385.39

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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.