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Finding the Fourth Proportional to 312,000.40, 468,000.60 and 193,286.80

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Solution

The fourth proportional to 312,000.40, 468,000.60 and 193,286.80 is: 289,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,000.40 : 468,000.60 = 193,286.80 : x
  2. Step 2: Convert to fraction form
    312,000.40/468,000.60 = 193,286.80/x
  3. Step 3: Cross multiply
    312,000.40x = 468,000.60 × 193,286.80
  4. Step 4: Simplify right side
    312,000.40x = 90,458,338,372.08
  5. Step 5: Solve for x
    x = 90,458,338,372.08/312,000.40
  6. Step 6: Final answer
    x = 289,930.20

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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.