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Finding the Fourth Proportional to 330,141.68, 494,769.04 and 180,157.22

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Solution

The fourth proportional to 330,141.68, 494,769.04 and 180,157.22 is: 269,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,141.68 : 494,769.04 = 180,157.22 : x
  2. Step 2: Convert to fraction form
    330,141.68/494,769.04 = 180,157.22/x
  3. Step 3: Cross multiply
    330,141.68x = 494,769.04 × 180,157.22
  4. Step 4: Simplify right side
    330,141.68x = 89,136,211,413.84
  5. Step 5: Solve for x
    x = 89,136,211,413.84/330,141.68
  6. Step 6: Final answer
    x = 269,993.82

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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.