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Finding the Fourth Proportional to 255,647.10, 383,469.03 and 78,153.42

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Solution

The fourth proportional to 255,647.10, 383,469.03 and 78,153.42 is: 117,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,647.10 : 383,469.03 = 78,153.42 : x
  2. Step 2: Convert to fraction form
    255,647.10/383,469.03 = 78,153.42/x
  3. Step 3: Cross multiply
    255,647.10x = 383,469.03 × 78,153.42
  4. Step 4: Simplify right side
    255,647.10x = 29,969,416,158.58
  5. Step 5: Solve for x
    x = 29,969,416,158.58/255,647.10
  6. Step 6: Final answer
    x = 117,229.63

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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.