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Finding the Fourth Proportional to 311,947.70, 467,921.55 and 311,947.70

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Solution

The fourth proportional to 311,947.70, 467,921.55 and 311,947.70 is: 467,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,947.70 : 467,921.55 = 311,947.70 : x
  2. Step 2: Convert to fraction form
    311,947.70/467,921.55 = 311,947.70/x
  3. Step 3: Cross multiply
    311,947.70x = 467,921.55 × 311,947.70
  4. Step 4: Simplify right side
    311,947.70x = 145,967,051,302.94
  5. Step 5: Solve for x
    x = 145,967,051,302.94/311,947.70
  6. Step 6: Final answer
    x = 467,921.55

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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.