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Finding the Fourth Proportional to 494,457.88, 741,718.16 and 190,996.80

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Solution

The fourth proportional to 494,457.88, 741,718.16 and 190,996.80 is: 286,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,457.88 : 741,718.16 = 190,996.80 : x
  2. Step 2: Convert to fraction form
    494,457.88/741,718.16 = 190,996.80/x
  3. Step 3: Cross multiply
    494,457.88x = 741,718.16 × 190,996.80
  4. Step 4: Simplify right side
    494,457.88x = 141,665,795,061.89
  5. Step 5: Solve for x
    x = 141,665,795,061.89/494,457.88
  6. Step 6: Final answer
    x = 286,507.31

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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.