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Finding the Fourth Proportional to 405,678.96, 608,471.87 and 106,188.55

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Solution

The fourth proportional to 405,678.96, 608,471.87 and 106,188.55 is: 159,270.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,678.96 : 608,471.87 = 106,188.55 : x
  2. Step 2: Convert to fraction form
    405,678.96/608,471.87 = 106,188.55/x
  3. Step 3: Cross multiply
    405,678.96x = 608,471.87 × 106,188.55
  4. Step 4: Simplify right side
    405,678.96x = 64,612,743,538.97
  5. Step 5: Solve for x
    x = 64,612,743,538.97/405,678.96
  6. Step 6: Final answer
    x = 159,270.63

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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.