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Finding the Fourth Proportional to 255,704.76, 383,600.16 and 78,170.22

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Solution

The fourth proportional to 255,704.76, 383,600.16 and 78,170.22 is: 117,268.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,704.76 : 383,600.16 = 78,170.22 : x
  2. Step 2: Convert to fraction form
    255,704.76/383,600.16 = 78,170.22/x
  3. Step 3: Cross multiply
    255,704.76x = 383,600.16 × 78,170.22
  4. Step 4: Simplify right side
    255,704.76x = 29,986,108,899.24
  5. Step 5: Solve for x
    x = 29,986,108,899.24/255,704.76
  6. Step 6: Final answer
    x = 117,268.48

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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.