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Finding the Fourth Proportional to 312,071.40, 468,107.10 and 280,578.60

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Solution

The fourth proportional to 312,071.40, 468,107.10 and 280,578.60 is: 420,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,071.40 : 468,107.10 = 280,578.60 : x
  2. Step 2: Convert to fraction form
    312,071.40/468,107.10 = 280,578.60/x
  3. Step 3: Cross multiply
    312,071.40x = 468,107.10 × 280,578.60
  4. Step 4: Simplify right side
    312,071.40x = 131,340,834,768.06
  5. Step 5: Solve for x
    x = 131,340,834,768.06/312,071.40
  6. Step 6: Final answer
    x = 420,867.90

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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.