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Finding the Fourth Proportional to 312,353.37, 468,722.84 and 122,780.57

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Solution

The fourth proportional to 312,353.37, 468,722.84 and 122,780.57 is: 184,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,353.37 : 468,722.84 = 122,780.57 : x
  2. Step 2: Convert to fraction form
    312,353.37/468,722.84 = 122,780.57/x
  3. Step 3: Cross multiply
    312,353.37x = 468,722.84 × 122,780.57
  4. Step 4: Simplify right side
    312,353.37x = 57,550,054,509.70
  5. Step 5: Solve for x
    x = 57,550,054,509.70/312,353.37
  6. Step 6: Final answer
    x = 184,246.63

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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.