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Finding the Fourth Proportional to 270,614.16, 405,912.84 and 128,561.67

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Solution

The fourth proportional to 270,614.16, 405,912.84 and 128,561.67 is: 192,838.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,614.16 : 405,912.84 = 128,561.67 : x
  2. Step 2: Convert to fraction form
    270,614.16/405,912.84 = 128,561.67/x
  3. Step 3: Cross multiply
    270,614.16x = 405,912.84 × 128,561.67
  4. Step 4: Simplify right side
    270,614.16x = 52,184,832,584.84
  5. Step 5: Solve for x
    x = 52,184,832,584.84/270,614.16
  6. Step 6: Final answer
    x = 192,838.51

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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.