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Finding the Fourth Proportional to 312,069.90, 468,104.85 and 280,577.10

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Solution

The fourth proportional to 312,069.90, 468,104.85 and 280,577.10 is: 420,865.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,069.90 : 468,104.85 = 280,577.10 : x
  2. Step 2: Convert to fraction form
    312,069.90/468,104.85 = 280,577.10/x
  3. Step 3: Cross multiply
    312,069.90x = 468,104.85 × 280,577.10
  4. Step 4: Simplify right side
    312,069.90x = 131,339,501,308.94
  5. Step 5: Solve for x
    x = 131,339,501,308.94/312,069.90
  6. Step 6: Final answer
    x = 420,865.65

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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.