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Finding the Fourth Proportional to 255,909.28, 383,850.08 and 78,416.82

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Solution

The fourth proportional to 255,909.28, 383,850.08 and 78,416.82 is: 117,620.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,909.28 : 383,850.08 = 78,416.82 : x
  2. Step 2: Convert to fraction form
    255,909.28/383,850.08 = 78,416.82/x
  3. Step 3: Cross multiply
    255,909.28x = 383,850.08 × 78,416.82
  4. Step 4: Simplify right side
    255,909.28x = 30,100,302,630.35
  5. Step 5: Solve for x
    x = 30,100,302,630.35/255,909.28
  6. Step 6: Final answer
    x = 117,620.99

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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.