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Finding the Fourth Proportional to 407,738.40, 611,607.60 and 256,179.30

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Solution

The fourth proportional to 407,738.40, 611,607.60 and 256,179.30 is: 384,268.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,738.40 : 611,607.60 = 256,179.30 : x
  2. Step 2: Convert to fraction form
    407,738.40/611,607.60 = 256,179.30/x
  3. Step 3: Cross multiply
    407,738.40x = 611,607.60 × 256,179.30
  4. Step 4: Simplify right side
    407,738.40x = 156,681,206,842.68
  5. Step 5: Solve for x
    x = 156,681,206,842.68/407,738.40
  6. Step 6: Final answer
    x = 384,268.95

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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.