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Finding the Fourth Proportional to 306,994.95, 459,642.24 and 156,912.09

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Solution

The fourth proportional to 306,994.95, 459,642.24 and 156,912.09 is: 234,933.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,994.95 : 459,642.24 = 156,912.09 : x
  2. Step 2: Convert to fraction form
    306,994.95/459,642.24 = 156,912.09/x
  3. Step 3: Cross multiply
    306,994.95x = 459,642.24 × 156,912.09
  4. Step 4: Simplify right side
    306,994.95x = 72,123,424,530.68
  5. Step 5: Solve for x
    x = 72,123,424,530.68/306,994.95
  6. Step 6: Final answer
    x = 234,933.59

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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.