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Finding the Fourth Proportional to 256,078.92, 353,389.20 and 142,901.64

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Solution

The fourth proportional to 256,078.92, 353,389.20 and 142,901.64 is: 197,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,078.92 : 353,389.20 = 142,901.64 : x
  2. Step 2: Convert to fraction form
    256,078.92/353,389.20 = 142,901.64/x
  3. Step 3: Cross multiply
    256,078.92x = 353,389.20 × 142,901.64
  4. Step 4: Simplify right side
    256,078.92x = 50,499,896,238.29
  5. Step 5: Solve for x
    x = 50,499,896,238.29/256,078.92
  6. Step 6: Final answer
    x = 197,204.43

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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.