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Finding the Fourth Proportional to 213,473.40, 320,216.58 and 73,230

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Solution

The fourth proportional to 213,473.40, 320,216.58 and 73,230 is: 109,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,473.40 : 320,216.58 = 73,230 : x
  2. Step 2: Convert to fraction form
    213,473.40/320,216.58 = 73,230/x
  3. Step 3: Cross multiply
    213,473.40x = 320,216.58 × 73,230
  4. Step 4: Simplify right side
    213,473.40x = 23,449,460,153.40
  5. Step 5: Solve for x
    x = 23,449,460,153.40/213,473.40
  6. Step 6: Final answer
    x = 109,847.22

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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.