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Finding the Fourth Proportional to 306,406.99, 459,222.29 and 137,747.37

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Solution

The fourth proportional to 306,406.99, 459,222.29 and 137,747.37 is: 206,446.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,406.99 : 459,222.29 = 137,747.37 : x
  2. Step 2: Convert to fraction form
    306,406.99/459,222.29 = 137,747.37/x
  3. Step 3: Cross multiply
    306,406.99x = 459,222.29 × 137,747.37
  4. Step 4: Simplify right side
    306,406.99x = 63,256,662,692.88
  5. Step 5: Solve for x
    x = 63,256,662,692.88/306,406.99
  6. Step 6: Final answer
    x = 206,446.54

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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.