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Finding the Fourth Proportional to 303,217.75, 454,824.80 and 78,577.62

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Solution

The fourth proportional to 303,217.75, 454,824.80 and 78,577.62 is: 117,865.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,217.75 : 454,824.80 = 78,577.62 : x
  2. Step 2: Convert to fraction form
    303,217.75/454,824.80 = 78,577.62/x
  3. Step 3: Cross multiply
    303,217.75x = 454,824.80 × 78,577.62
  4. Step 4: Simplify right side
    303,217.75x = 35,739,050,300.98
  5. Step 5: Solve for x
    x = 35,739,050,300.98/303,217.75
  6. Step 6: Final answer
    x = 117,865.96

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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.