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Finding the Fourth Proportional to 419,478.28, 628,968.56 and 166,622.84

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Solution

The fourth proportional to 419,478.28, 628,968.56 and 166,622.84 is: 249,835.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,478.28 : 628,968.56 = 166,622.84 : x
  2. Step 2: Convert to fraction form
    419,478.28/628,968.56 = 166,622.84/x
  3. Step 3: Cross multiply
    419,478.28x = 628,968.56 × 166,622.84
  4. Step 4: Simplify right side
    419,478.28x = 104,800,527,737.91
  5. Step 5: Solve for x
    x = 104,800,527,737.91/419,478.28
  6. Step 6: Final answer
    x = 249,835.41

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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.