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Finding the Fourth Proportional to 256,278.85, 384,449.05 and 106,620.41

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Solution

The fourth proportional to 256,278.85, 384,449.05 and 106,620.41 is: 159,943.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,278.85 : 384,449.05 = 106,620.41 : x
  2. Step 2: Convert to fraction form
    256,278.85/384,449.05 = 106,620.41/x
  3. Step 3: Cross multiply
    256,278.85x = 384,449.05 × 106,620.41
  4. Step 4: Simplify right side
    256,278.85x = 40,990,116,429.51
  5. Step 5: Solve for x
    x = 40,990,116,429.51/256,278.85
  6. Step 6: Final answer
    x = 159,943.42

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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.