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Finding the Fourth Proportional to 256,112.80, 384,169.20 and 193,904.80

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Solution

The fourth proportional to 256,112.80, 384,169.20 and 193,904.80 is: 290,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,112.80 : 384,169.20 = 193,904.80 : x
  2. Step 2: Convert to fraction form
    256,112.80/384,169.20 = 193,904.80/x
  3. Step 3: Cross multiply
    256,112.80x = 384,169.20 × 193,904.80
  4. Step 4: Simplify right side
    256,112.80x = 74,492,251,892.16
  5. Step 5: Solve for x
    x = 74,492,251,892.16/256,112.80
  6. Step 6: Final answer
    x = 290,857.20

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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.