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Finding the Fourth Proportional to 256,374.56, 384,606.16 and 114,270.40

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Solution

The fourth proportional to 256,374.56, 384,606.16 and 114,270.40 is: 171,425.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,374.56 : 384,606.16 = 114,270.40 : x
  2. Step 2: Convert to fraction form
    256,374.56/384,606.16 = 114,270.40/x
  3. Step 3: Cross multiply
    256,374.56x = 384,606.16 × 114,270.40
  4. Step 4: Simplify right side
    256,374.56x = 43,949,099,745.66
  5. Step 5: Solve for x
    x = 43,949,099,745.66/256,374.56
  6. Step 6: Final answer
    x = 171,425.35

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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.