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Finding the Fourth Proportional to 405,611.84, 608,453.04 and 106,091.12

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Solution

The fourth proportional to 405,611.84, 608,453.04 and 106,091.12 is: 159,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,611.84 : 608,453.04 = 106,091.12 : x
  2. Step 2: Convert to fraction form
    405,611.84/608,453.04 = 106,091.12/x
  3. Step 3: Cross multiply
    405,611.84x = 608,453.04 × 106,091.12
  4. Step 4: Simplify right side
    405,611.84x = 64,551,464,481.00
  5. Step 5: Solve for x
    x = 64,551,464,481.00/405,611.84
  6. Step 6: Final answer
    x = 159,145.91

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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.