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Finding the Fourth Proportional to 256,498.79, 384,540.63 and 106,851.48

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Solution

The fourth proportional to 256,498.79, 384,540.63 and 106,851.48 is: 160,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,498.79 : 384,540.63 = 106,851.48 : x
  2. Step 2: Convert to fraction form
    256,498.79/384,540.63 = 106,851.48/x
  3. Step 3: Cross multiply
    256,498.79x = 384,540.63 × 106,851.48
  4. Step 4: Simplify right side
    256,498.79x = 41,088,735,435.63
  5. Step 5: Solve for x
    x = 41,088,735,435.63/256,498.79
  6. Step 6: Final answer
    x = 160,190.76

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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.