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Finding the Fourth Proportional to 289,880, 434,814.87 and 119,064.73

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Solution

The fourth proportional to 289,880, 434,814.87 and 119,064.73 is: 178,594.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,880 : 434,814.87 = 119,064.73 : x
  2. Step 2: Convert to fraction form
    289,880/434,814.87 = 119,064.73/x
  3. Step 3: Cross multiply
    289,880x = 434,814.87 × 119,064.73
  4. Step 4: Simplify right side
    289,880x = 51,771,115,096.54
  5. Step 5: Solve for x
    x = 51,771,115,096.54/289,880
  6. Step 6: Final answer
    x = 178,594.99

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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.