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Finding the Fourth Proportional to 256,520.40, 384,780.60 and 185,661.60

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Solution

The fourth proportional to 256,520.40, 384,780.60 and 185,661.60 is: 278,492.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,520.40 : 384,780.60 = 185,661.60 : x
  2. Step 2: Convert to fraction form
    256,520.40/384,780.60 = 185,661.60/x
  3. Step 3: Cross multiply
    256,520.40x = 384,780.60 × 185,661.60
  4. Step 4: Simplify right side
    256,520.40x = 71,438,981,844.96
  5. Step 5: Solve for x
    x = 71,438,981,844.96/256,520.40
  6. Step 6: Final answer
    x = 278,492.40

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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.