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Finding the Fourth Proportional to 313,391.81, 470,274.53 and 113,727.78

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Solution

The fourth proportional to 313,391.81, 470,274.53 and 113,727.78 is: 170,659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,391.81 : 470,274.53 = 113,727.78 : x
  2. Step 2: Convert to fraction form
    313,391.81/470,274.53 = 113,727.78/x
  3. Step 3: Cross multiply
    313,391.81x = 470,274.53 × 113,727.78
  4. Step 4: Simplify right side
    313,391.81x = 53,483,277,718.80
  5. Step 5: Solve for x
    x = 53,483,277,718.80/313,391.81
  6. Step 6: Final answer
    x = 170,659.46

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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.