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Finding the Fourth Proportional to 311,870.94, 467,856.90 and 122,228.50

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Solution

The fourth proportional to 311,870.94, 467,856.90 and 122,228.50 is: 183,362.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,870.94 : 467,856.90 = 122,228.50 : x
  2. Step 2: Convert to fraction form
    311,870.94/467,856.90 = 122,228.50/x
  3. Step 3: Cross multiply
    311,870.94x = 467,856.90 × 122,228.50
  4. Step 4: Simplify right side
    311,870.94x = 57,185,447,101.65
  5. Step 5: Solve for x
    x = 57,185,447,101.65/311,870.94
  6. Step 6: Final answer
    x = 183,362.54

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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.