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Finding the Fourth Proportional to 312,091.20, 468,136.80 and 192,243.60

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Solution

The fourth proportional to 312,091.20, 468,136.80 and 192,243.60 is: 288,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,091.20 : 468,136.80 = 192,243.60 : x
  2. Step 2: Convert to fraction form
    312,091.20/468,136.80 = 192,243.60/x
  3. Step 3: Cross multiply
    312,091.20x = 468,136.80 × 192,243.60
  4. Step 4: Simplify right side
    312,091.20x = 89,996,303,724.48
  5. Step 5: Solve for x
    x = 89,996,303,724.48/312,091.20
  6. Step 6: Final answer
    x = 288,365.40

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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.