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Finding the Fourth Proportional to 305,877.60, 458,816.40 and 211,399.20

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Solution

The fourth proportional to 305,877.60, 458,816.40 and 211,399.20 is: 317,098.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,877.60 : 458,816.40 = 211,399.20 : x
  2. Step 2: Convert to fraction form
    305,877.60/458,816.40 = 211,399.20/x
  3. Step 3: Cross multiply
    305,877.60x = 458,816.40 × 211,399.20
  4. Step 4: Simplify right side
    305,877.60x = 96,993,419,906.88
  5. Step 5: Solve for x
    x = 96,993,419,906.88/305,877.60
  6. Step 6: Final answer
    x = 317,098.80

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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.