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Finding the Fourth Proportional to 312,091.80, 468,137.70 and 200,117.40

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Solution

The fourth proportional to 312,091.80, 468,137.70 and 200,117.40 is: 300,176.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,091.80 : 468,137.70 = 200,117.40 : x
  2. Step 2: Convert to fraction form
    312,091.80/468,137.70 = 200,117.40/x
  3. Step 3: Cross multiply
    312,091.80x = 468,137.70 × 200,117.40
  4. Step 4: Simplify right side
    312,091.80x = 93,682,499,365.98
  5. Step 5: Solve for x
    x = 93,682,499,365.98/312,091.80
  6. Step 6: Final answer
    x = 300,176.10

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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.