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Finding the Fourth Proportional to 303,220.88, 454,832.96 and 78,565.76

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Solution

The fourth proportional to 303,220.88, 454,832.96 and 78,565.76 is: 117,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,220.88 : 454,832.96 = 78,565.76 : x
  2. Step 2: Convert to fraction form
    303,220.88/454,832.96 = 78,565.76/x
  3. Step 3: Cross multiply
    303,220.88x = 454,832.96 × 78,565.76
  4. Step 4: Simplify right side
    303,220.88x = 35,734,297,175.45
  5. Step 5: Solve for x
    x = 35,734,297,175.45/303,220.88
  6. Step 6: Final answer
    x = 117,849.06

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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.