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Finding the Fourth Proportional to 256,049.60, 384,103.20 and 78,555.20

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Solution

The fourth proportional to 256,049.60, 384,103.20 and 78,555.20 is: 117,841.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,049.60 : 384,103.20 = 78,555.20 : x
  2. Step 2: Convert to fraction form
    256,049.60/384,103.20 = 78,555.20/x
  3. Step 3: Cross multiply
    256,049.60x = 384,103.20 × 78,555.20
  4. Step 4: Simplify right side
    256,049.60x = 30,173,303,696.64
  5. Step 5: Solve for x
    x = 30,173,303,696.64/256,049.60
  6. Step 6: Final answer
    x = 117,841.64

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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.