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Finding the Fourth Proportional to 312,224, 431,054.88 and 204,981.68

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Solution

The fourth proportional to 312,224, 431,054.88 and 204,981.68 is: 282,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,224 : 431,054.88 = 204,981.68 : x
  2. Step 2: Convert to fraction form
    312,224/431,054.88 = 204,981.68/x
  3. Step 3: Cross multiply
    312,224x = 431,054.88 × 204,981.68
  4. Step 4: Simplify right side
    312,224x = 88,358,353,474.60
  5. Step 5: Solve for x
    x = 88,358,353,474.60/312,224
  6. Step 6: Final answer
    x = 282,996.67

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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.