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Finding the Fourth Proportional to 328,947.60, 492,546.60 and 209,974.80

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Solution

The fourth proportional to 328,947.60, 492,546.60 and 209,974.80 is: 314,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,947.60 : 492,546.60 = 209,974.80 : x
  2. Step 2: Convert to fraction form
    328,947.60/492,546.60 = 209,974.80/x
  3. Step 3: Cross multiply
    328,947.60x = 492,546.60 × 209,974.80
  4. Step 4: Simplify right side
    328,947.60x = 103,422,373,825.68
  5. Step 5: Solve for x
    x = 103,422,373,825.68/328,947.60
  6. Step 6: Final answer
    x = 314,403.80

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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.