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Finding the Fourth Proportional to 256,078.32, 353,355.48 and 142,905.84

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Solution

The fourth proportional to 256,078.32, 353,355.48 and 142,905.84 is: 197,191.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,078.32 : 353,355.48 = 142,905.84 : x
  2. Step 2: Convert to fraction form
    256,078.32/353,355.48 = 142,905.84/x
  3. Step 3: Cross multiply
    256,078.32x = 353,355.48 × 142,905.84
  4. Step 4: Simplify right side
    256,078.32x = 50,496,561,688.00
  5. Step 5: Solve for x
    x = 50,496,561,688.00/256,078.32
  6. Step 6: Final answer
    x = 197,191.87

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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.