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Finding the Fourth Proportional to 255,865.62, 383,608.88 and 122,619

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Solution

The fourth proportional to 255,865.62, 383,608.88 and 122,619 is: 183,837.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,865.62 : 383,608.88 = 122,619 : x
  2. Step 2: Convert to fraction form
    255,865.62/383,608.88 = 122,619/x
  3. Step 3: Cross multiply
    255,865.62x = 383,608.88 × 122,619
  4. Step 4: Simplify right side
    255,865.62x = 47,037,737,256.72
  5. Step 5: Solve for x
    x = 47,037,737,256.72/255,865.62
  6. Step 6: Final answer
    x = 183,837.66

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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.