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Finding the Fourth Proportional to 405,405.84, 608,174.08 and 124,922.96

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Solution

The fourth proportional to 405,405.84, 608,174.08 and 124,922.96 is: 187,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,405.84 : 608,174.08 = 124,922.96 : x
  2. Step 2: Convert to fraction form
    405,405.84/608,174.08 = 124,922.96/x
  3. Step 3: Cross multiply
    405,405.84x = 608,174.08 × 124,922.96
  4. Step 4: Simplify right side
    405,405.84x = 75,974,906,268.88
  5. Step 5: Solve for x
    x = 75,974,906,268.88/405,405.84
  6. Step 6: Final answer
    x = 187,404.57

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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.