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Finding the Fourth Proportional to 312,074.70, 468,377.43 and 122,667.72

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Solution

The fourth proportional to 312,074.70, 468,377.43 and 122,667.72 is: 184,105.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,074.70 : 468,377.43 = 122,667.72 : x
  2. Step 2: Convert to fraction form
    312,074.70/468,377.43 = 122,667.72/x
  3. Step 3: Cross multiply
    312,074.70x = 468,377.43 × 122,667.72
  4. Step 4: Simplify right side
    312,074.70x = 57,454,791,437.56
  5. Step 5: Solve for x
    x = 57,454,791,437.56/312,074.70
  6. Step 6: Final answer
    x = 184,105.89

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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.