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Finding the Fourth Proportional to 289,866, 399,812.72 and 280,112

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Solution

The fourth proportional to 289,866, 399,812.72 and 280,112 is: 386,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,866 : 399,812.72 = 280,112 : x
  2. Step 2: Convert to fraction form
    289,866/399,812.72 = 280,112/x
  3. Step 3: Cross multiply
    289,866x = 399,812.72 × 280,112
  4. Step 4: Simplify right side
    289,866x = 111,992,340,624.64
  5. Step 5: Solve for x
    x = 111,992,340,624.64/289,866
  6. Step 6: Final answer
    x = 386,359.01

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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.