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Finding the Fourth Proportional to 494,000.80, 741,346.80 and 213,719.20

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Solution

The fourth proportional to 494,000.80, 741,346.80 and 213,719.20 is: 320,728.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,000.80 : 741,346.80 = 213,719.20 : x
  2. Step 2: Convert to fraction form
    494,000.80/741,346.80 = 213,719.20/x
  3. Step 3: Cross multiply
    494,000.80x = 741,346.80 × 213,719.20
  4. Step 4: Simplify right side
    494,000.80x = 158,440,045,018.56
  5. Step 5: Solve for x
    x = 158,440,045,018.56/494,000.80
  6. Step 6: Final answer
    x = 320,728.32

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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.