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Finding the Fourth Proportional to 494,443.20, 741,664.80 and 162,019.20

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Solution

The fourth proportional to 494,443.20, 741,664.80 and 162,019.20 is: 243,028.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,443.20 : 741,664.80 = 162,019.20 : x
  2. Step 2: Convert to fraction form
    494,443.20/741,664.80 = 162,019.20/x
  3. Step 3: Cross multiply
    494,443.20x = 741,664.80 × 162,019.20
  4. Step 4: Simplify right side
    494,443.20x = 120,163,937,564.16
  5. Step 5: Solve for x
    x = 120,163,937,564.16/494,443.20
  6. Step 6: Final answer
    x = 243,028.80

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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.