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Finding the Fourth Proportional to 312,231.20, 468,346.80 and 223,657.70

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Solution

The fourth proportional to 312,231.20, 468,346.80 and 223,657.70 is: 335,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,231.20 : 468,346.80 = 223,657.70 : x
  2. Step 2: Convert to fraction form
    312,231.20/468,346.80 = 223,657.70/x
  3. Step 3: Cross multiply
    312,231.20x = 468,346.80 × 223,657.70
  4. Step 4: Simplify right side
    312,231.20x = 104,749,368,090.36
  5. Step 5: Solve for x
    x = 104,749,368,090.36/312,231.20
  6. Step 6: Final answer
    x = 335,486.55

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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.