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Finding the Fourth Proportional to 256,533.21, 354,016.31 and 143,355.96

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Solution

The fourth proportional to 256,533.21, 354,016.31 and 143,355.96 is: 197,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,533.21 : 354,016.31 = 143,355.96 : x
  2. Step 2: Convert to fraction form
    256,533.21/354,016.31 = 143,355.96/x
  3. Step 3: Cross multiply
    256,533.21x = 354,016.31 × 143,355.96
  4. Step 4: Simplify right side
    256,533.21x = 50,750,347,258.93
  5. Step 5: Solve for x
    x = 50,750,347,258.93/256,533.21
  6. Step 6: Final answer
    x = 197,831.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.