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Finding the Fourth Proportional to 213,473.30, 320,204.43 and 69,378.31

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Solution

The fourth proportional to 213,473.30, 320,204.43 and 69,378.31 is: 104,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,473.30 : 320,204.43 = 69,378.31 : x
  2. Step 2: Convert to fraction form
    213,473.30/320,204.43 = 69,378.31/x
  3. Step 3: Cross multiply
    213,473.30x = 320,204.43 × 69,378.31
  4. Step 4: Simplify right side
    213,473.30x = 22,215,242,207.91
  5. Step 5: Solve for x
    x = 22,215,242,207.91/213,473.30
  6. Step 6: Final answer
    x = 104,065.67

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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.