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Finding the Fourth Proportional to 494,643.60, 741,965.40 and 345,052.80

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Solution

The fourth proportional to 494,643.60, 741,965.40 and 345,052.80 is: 517,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,643.60 : 741,965.40 = 345,052.80 : x
  2. Step 2: Convert to fraction form
    494,643.60/741,965.40 = 345,052.80/x
  3. Step 3: Cross multiply
    494,643.60x = 741,965.40 × 345,052.80
  4. Step 4: Simplify right side
    494,643.60x = 256,017,238,773.12
  5. Step 5: Solve for x
    x = 256,017,238,773.12/494,643.60
  6. Step 6: Final answer
    x = 517,579.20

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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.