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Finding the Fourth Proportional to 438,804.56, 658,206.72 and 106,380.56

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Solution

The fourth proportional to 438,804.56, 658,206.72 and 106,380.56 is: 159,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,804.56 : 658,206.72 = 106,380.56 : x
  2. Step 2: Convert to fraction form
    438,804.56/658,206.72 = 106,380.56/x
  3. Step 3: Cross multiply
    438,804.56x = 658,206.72 × 106,380.56
  4. Step 4: Simplify right side
    438,804.56x = 70,020,399,469.36
  5. Step 5: Solve for x
    x = 70,020,399,469.36/438,804.56
  6. Step 6: Final answer
    x = 159,570.81

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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.