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Finding the Fourth Proportional to 255,704.13, 383,571.59 and 78,212.69

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Solution

The fourth proportional to 255,704.13, 383,571.59 and 78,212.69 is: 117,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,704.13 : 383,571.59 = 78,212.69 : x
  2. Step 2: Convert to fraction form
    255,704.13/383,571.59 = 78,212.69/x
  3. Step 3: Cross multiply
    255,704.13x = 383,571.59 × 78,212.69
  4. Step 4: Simplify right side
    255,704.13x = 30,000,163,552.56
  5. Step 5: Solve for x
    x = 30,000,163,552.56/255,704.13
  6. Step 6: Final answer
    x = 117,323.73

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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.