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Finding the Fourth Proportional to 449,185.12, 674,368.18 and 412,049.86

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Solution

The fourth proportional to 449,185.12, 674,368.18 and 412,049.86 is: 618,616.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,185.12 : 674,368.18 = 412,049.86 : x
  2. Step 2: Convert to fraction form
    449,185.12/674,368.18 = 412,049.86/x
  3. Step 3: Cross multiply
    449,185.12x = 674,368.18 × 412,049.86
  4. Step 4: Simplify right side
    449,185.12x = 277,873,314,157.46
  5. Step 5: Solve for x
    x = 277,873,314,157.46/449,185.12
  6. Step 6: Final answer
    x = 618,616.47

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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.