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Finding the Fourth Proportional to 305,889.60, 422,181.74 and 228,752.28

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Solution

The fourth proportional to 305,889.60, 422,181.74 and 228,752.28 is: 315,718.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,889.60 : 422,181.74 = 228,752.28 : x
  2. Step 2: Convert to fraction form
    305,889.60/422,181.74 = 228,752.28/x
  3. Step 3: Cross multiply
    305,889.60x = 422,181.74 × 228,752.28
  4. Step 4: Simplify right side
    305,889.60x = 96,575,035,599.37
  5. Step 5: Solve for x
    x = 96,575,035,599.37/305,889.60
  6. Step 6: Final answer
    x = 315,718.60

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Why These Related Problems?

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