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Finding the Fourth Proportional to 324,813.48, 448,231.68 and 228,157.32

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Solution

The fourth proportional to 324,813.48, 448,231.68 and 228,157.32 is: 314,849.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,813.48 : 448,231.68 = 228,157.32 : x
  2. Step 2: Convert to fraction form
    324,813.48/448,231.68 = 228,157.32/x
  3. Step 3: Cross multiply
    324,813.48x = 448,231.68 × 228,157.32
  4. Step 4: Simplify right side
    324,813.48x = 102,267,338,847.90
  5. Step 5: Solve for x
    x = 102,267,338,847.90/324,813.48
  6. Step 6: Final answer
    x = 314,849.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.