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Finding the Fourth Proportional to 433,082.88, 649,617.21 and 129,477.78

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Solution

The fourth proportional to 433,082.88, 649,617.21 and 129,477.78 is: 194,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,082.88 : 649,617.21 = 129,477.78 : x
  2. Step 2: Convert to fraction form
    433,082.88/649,617.21 = 129,477.78/x
  3. Step 3: Cross multiply
    433,082.88x = 649,617.21 × 129,477.78
  4. Step 4: Simplify right side
    433,082.88x = 84,110,994,200.59
  5. Step 5: Solve for x
    x = 84,110,994,200.59/433,082.88
  6. Step 6: Final answer
    x = 194,214.54

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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.