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Finding the Fourth Proportional to 303,204.94, 454,805.57 and 78,564.80

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Solution

The fourth proportional to 303,204.94, 454,805.57 and 78,564.80 is: 117,846.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,204.94 : 454,805.57 = 78,564.80 : x
  2. Step 2: Convert to fraction form
    303,204.94/454,805.57 = 78,564.80/x
  3. Step 3: Cross multiply
    303,204.94x = 454,805.57 × 78,564.80
  4. Step 4: Simplify right side
    303,204.94x = 35,731,709,979.36
  5. Step 5: Solve for x
    x = 35,731,709,979.36/303,204.94
  6. Step 6: Final answer
    x = 117,846.73

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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.