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Finding the Fourth Proportional to 312,072.40, 468,108.60 and 280,579.60

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Solution

The fourth proportional to 312,072.40, 468,108.60 and 280,579.60 is: 420,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,072.40 : 468,108.60 = 280,579.60 : x
  2. Step 2: Convert to fraction form
    312,072.40/468,108.60 = 280,579.60/x
  3. Step 3: Cross multiply
    312,072.40x = 468,108.60 × 280,579.60
  4. Step 4: Simplify right side
    312,072.40x = 131,341,723,744.56
  5. Step 5: Solve for x
    x = 131,341,723,744.56/312,072.40
  6. Step 6: Final answer
    x = 420,869.40

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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.