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Finding the Fourth Proportional to 256,951.76, 354,749 and 167,683.28

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Solution

The fourth proportional to 256,951.76, 354,749 and 167,683.28 is: 231,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,951.76 : 354,749 = 167,683.28 : x
  2. Step 2: Convert to fraction form
    256,951.76/354,749 = 167,683.28/x
  3. Step 3: Cross multiply
    256,951.76x = 354,749 × 167,683.28
  4. Step 4: Simplify right side
    256,951.76x = 59,485,475,896.72
  5. Step 5: Solve for x
    x = 59,485,475,896.72/256,951.76
  6. Step 6: Final answer
    x = 231,504.45

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1.5x scale

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.