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Finding the Fourth Proportional to 256,076.40, 384,114.60 and 229,119.60

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Solution

The fourth proportional to 256,076.40, 384,114.60 and 229,119.60 is: 343,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,076.40 : 384,114.60 = 229,119.60 : x
  2. Step 2: Convert to fraction form
    256,076.40/384,114.60 = 229,119.60/x
  3. Step 3: Cross multiply
    256,076.40x = 384,114.60 × 229,119.60
  4. Step 4: Simplify right side
    256,076.40x = 88,008,183,506.16
  5. Step 5: Solve for x
    x = 88,008,183,506.16/256,076.40
  6. Step 6: Final answer
    x = 343,679.40

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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.