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Finding the Fourth Proportional to 312,156.54, 468,359.46 and 185,856.30

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Solution

The fourth proportional to 312,156.54, 468,359.46 and 185,856.30 is: 278,858.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,156.54 : 468,359.46 = 185,856.30 : x
  2. Step 2: Convert to fraction form
    312,156.54/468,359.46 = 185,856.30/x
  3. Step 3: Cross multiply
    312,156.54x = 468,359.46 × 185,856.30
  4. Step 4: Simplify right side
    312,156.54x = 87,047,556,305.60
  5. Step 5: Solve for x
    x = 87,047,556,305.60/312,156.54
  6. Step 6: Final answer
    x = 278,858.67

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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.