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Finding the Fourth Proportional to 312,273.50, 430,995.81 and 178,137.50

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Solution

The fourth proportional to 312,273.50, 430,995.81 and 178,137.50 is: 245,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,273.50 : 430,995.81 = 178,137.50 : x
  2. Step 2: Convert to fraction form
    312,273.50/430,995.81 = 178,137.50/x
  3. Step 3: Cross multiply
    312,273.50x = 430,995.81 × 178,137.50
  4. Step 4: Simplify right side
    312,273.50x = 76,776,516,103.88
  5. Step 5: Solve for x
    x = 76,776,516,103.88/312,273.50
  6. Step 6: Final answer
    x = 245,863.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.