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Finding the Fourth Proportional to 634,912.83, 876,219.08 and 419,679.63

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Solution

The fourth proportional to 634,912.83, 876,219.08 and 419,679.63 is: 579,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,912.83 : 876,219.08 = 419,679.63 : x
  2. Step 2: Convert to fraction form
    634,912.83/876,219.08 = 419,679.63/x
  3. Step 3: Cross multiply
    634,912.83x = 876,219.08 × 419,679.63
  4. Step 4: Simplify right side
    634,912.83x = 367,731,297,194.94
  5. Step 5: Solve for x
    x = 367,731,297,194.94/634,912.83
  6. Step 6: Final answer
    x = 579,183.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.