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Finding the Fourth Proportional to 313,015.82, 469,469.19 and 144,521.78

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Solution

The fourth proportional to 313,015.82, 469,469.19 and 144,521.78 is: 216,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,015.82 : 469,469.19 = 144,521.78 : x
  2. Step 2: Convert to fraction form
    313,015.82/469,469.19 = 144,521.78/x
  3. Step 3: Cross multiply
    313,015.82x = 469,469.19 × 144,521.78
  4. Step 4: Simplify right side
    313,015.82x = 67,848,522,993.96
  5. Step 5: Solve for x
    x = 67,848,522,993.96/313,015.82
  6. Step 6: Final answer
    x = 216,757.49

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1.5x scale

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.