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Finding the Fourth Proportional to 289,336.20, 433,658.70 and 149,022.60

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Solution

The fourth proportional to 289,336.20, 433,658.70 and 149,022.60 is: 223,355.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,336.20 : 433,658.70 = 149,022.60 : x
  2. Step 2: Convert to fraction form
    289,336.20/433,658.70 = 149,022.60/x
  3. Step 3: Cross multiply
    289,336.20x = 433,658.70 × 149,022.60
  4. Step 4: Simplify right side
    289,336.20x = 64,624,946,986.62
  5. Step 5: Solve for x
    x = 64,624,946,986.62/289,336.20
  6. Step 6: Final answer
    x = 223,355.90

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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.