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Finding the Fourth Proportional to 289,866.14, 399,812.90 and 280,112.12

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Solution

The fourth proportional to 289,866.14, 399,812.90 and 280,112.12 is: 386,359.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,866.14 : 399,812.90 = 280,112.12 : x
  2. Step 2: Convert to fraction form
    289,866.14/399,812.90 = 280,112.12/x
  3. Step 3: Cross multiply
    289,866.14x = 399,812.90 × 280,112.12
  4. Step 4: Simplify right side
    289,866.14x = 111,992,435,622.72
  5. Step 5: Solve for x
    x = 111,992,435,622.72/289,866.14
  6. Step 6: Final answer
    x = 386,359.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.