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Finding the Fourth Proportional to 400,975.87, 553,346.69 and 219,694.67

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Solution

The fourth proportional to 400,975.87, 553,346.69 and 219,694.67 is: 303,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,975.87 : 553,346.69 = 219,694.67 : x
  2. Step 2: Convert to fraction form
    400,975.87/553,346.69 = 219,694.67/x
  3. Step 3: Cross multiply
    400,975.87x = 553,346.69 × 219,694.67
  4. Step 4: Simplify right side
    400,975.87x = 121,567,314,589.94
  5. Step 5: Solve for x
    x = 121,567,314,589.94/400,975.87
  6. Step 6: Final answer
    x = 303,178.63

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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.