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Finding the Fourth Proportional to 405,912.68, 608,797.74 and 125,432.36

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Solution

The fourth proportional to 405,912.68, 608,797.74 and 125,432.36 is: 188,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,912.68 : 608,797.74 = 125,432.36 : x
  2. Step 2: Convert to fraction form
    405,912.68/608,797.74 = 125,432.36/x
  3. Step 3: Cross multiply
    405,912.68x = 608,797.74 × 125,432.36
  4. Step 4: Simplify right side
    405,912.68x = 76,362,937,290.87
  5. Step 5: Solve for x
    x = 76,362,937,290.87/405,912.68
  6. Step 6: Final answer
    x = 188,126.51

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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.