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Finding the Fourth Proportional to 984,700.72, 1,477,300.24 and 274,728.48

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Solution

The fourth proportional to 984,700.72, 1,477,300.24 and 274,728.48 is: 412,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,700.72 : 1,477,300.24 = 274,728.48 : x
  2. Step 2: Convert to fraction form
    984,700.72/1,477,300.24 = 274,728.48/x
  3. Step 3: Cross multiply
    984,700.72x = 1,477,300.24 × 274,728.48
  4. Step 4: Simplify right side
    984,700.72x = 405,856,449,438.84
  5. Step 5: Solve for x
    x = 405,856,449,438.84/984,700.72
  6. Step 6: Final answer
    x = 412,162.23

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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.