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Finding the Fourth Proportional to 256,074.12, 384,173.48 and 85,295.40

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Solution

The fourth proportional to 256,074.12, 384,173.48 and 85,295.40 is: 127,963.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,074.12 : 384,173.48 = 85,295.40 : x
  2. Step 2: Convert to fraction form
    256,074.12/384,173.48 = 85,295.40/x
  3. Step 3: Cross multiply
    256,074.12x = 384,173.48 × 85,295.40
  4. Step 4: Simplify right side
    256,074.12x = 32,768,230,645.99
  5. Step 5: Solve for x
    x = 32,768,230,645.99/256,074.12
  6. Step 6: Final answer
    x = 127,963.85

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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.