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Finding the Fourth Proportional to 312,057.60, 468,086.40 and 205,769.40

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Solution

The fourth proportional to 312,057.60, 468,086.40 and 205,769.40 is: 308,654.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,057.60 : 468,086.40 = 205,769.40 : x
  2. Step 2: Convert to fraction form
    312,057.60/468,086.40 = 205,769.40/x
  3. Step 3: Cross multiply
    312,057.60x = 468,086.40 × 205,769.40
  4. Step 4: Simplify right side
    312,057.60x = 96,317,857,676.16
  5. Step 5: Solve for x
    x = 96,317,857,676.16/312,057.60
  6. Step 6: Final answer
    x = 308,654.10

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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.