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Finding the Fourth Proportional to 398,718.56, 597,928.80 and 161,981.48

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Solution

The fourth proportional to 398,718.56, 597,928.80 and 161,981.48 is: 242,911.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,718.56 : 597,928.80 = 161,981.48 : x
  2. Step 2: Convert to fraction form
    398,718.56/597,928.80 = 161,981.48/x
  3. Step 3: Cross multiply
    398,718.56x = 597,928.80 × 161,981.48
  4. Step 4: Simplify right side
    398,718.56x = 96,853,391,958.62
  5. Step 5: Solve for x
    x = 96,853,391,958.62/398,718.56
  6. Step 6: Final answer
    x = 242,911.67

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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.