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Finding the Fourth Proportional to 256,874.64, 354,481.68 and 142,153.24

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Solution

The fourth proportional to 256,874.64, 354,481.68 and 142,153.24 is: 196,168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,874.64 : 354,481.68 = 142,153.24 : x
  2. Step 2: Convert to fraction form
    256,874.64/354,481.68 = 142,153.24/x
  3. Step 3: Cross multiply
    256,874.64x = 354,481.68 × 142,153.24
  4. Step 4: Simplify right side
    256,874.64x = 50,390,719,332.64
  5. Step 5: Solve for x
    x = 50,390,719,332.64/256,874.64
  6. Step 6: Final answer
    x = 196,168.53

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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.