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Finding the Fourth Proportional to 313,708.72, 470,106.24 and 145,280.56

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Solution

The fourth proportional to 313,708.72, 470,106.24 and 145,280.56 is: 217,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,708.72 : 470,106.24 = 145,280.56 : x
  2. Step 2: Convert to fraction form
    313,708.72/470,106.24 = 145,280.56/x
  3. Step 3: Cross multiply
    313,708.72x = 470,106.24 × 145,280.56
  4. Step 4: Simplify right side
    313,708.72x = 68,297,297,806.69
  5. Step 5: Solve for x
    x = 68,297,297,806.69/313,708.72
  6. Step 6: Final answer
    x = 217,709.27

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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.