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Finding the Fourth Proportional to 254,152.95, 381,211.39 and 119,246.64

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Solution

The fourth proportional to 254,152.95, 381,211.39 and 119,246.64 is: 178,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,152.95 : 381,211.39 = 119,246.64 : x
  2. Step 2: Convert to fraction form
    254,152.95/381,211.39 = 119,246.64/x
  3. Step 3: Cross multiply
    254,152.95x = 381,211.39 × 119,246.64
  4. Step 4: Simplify right side
    254,152.95x = 45,458,177,387.23
  5. Step 5: Solve for x
    x = 45,458,177,387.23/254,152.95
  6. Step 6: Final answer
    x = 178,861.50

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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.