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Finding the Fourth Proportional to 255,836.54, 383,755.72 and 78,342.78

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Solution

The fourth proportional to 255,836.54, 383,755.72 and 78,342.78 is: 117,514.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,836.54 : 383,755.72 = 78,342.78 : x
  2. Step 2: Convert to fraction form
    255,836.54/383,755.72 = 78,342.78/x
  3. Step 3: Cross multiply
    255,836.54x = 383,755.72 × 78,342.78
  4. Step 4: Simplify right side
    255,836.54x = 30,064,489,945.70
  5. Step 5: Solve for x
    x = 30,064,489,945.70/255,836.54
  6. Step 6: Final answer
    x = 117,514.45

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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.