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Finding the Fourth Proportional to 312,070.40, 468,105.60 and 280,577.60

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Solution

The fourth proportional to 312,070.40, 468,105.60 and 280,577.60 is: 420,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,070.40 : 468,105.60 = 280,577.60 : x
  2. Step 2: Convert to fraction form
    312,070.40/468,105.60 = 280,577.60/x
  3. Step 3: Cross multiply
    312,070.40x = 468,105.60 × 280,577.60
  4. Step 4: Simplify right side
    312,070.40x = 131,339,945,794.56
  5. Step 5: Solve for x
    x = 131,339,945,794.56/312,070.40
  6. Step 6: Final answer
    x = 420,866.40

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1.5x scale

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.