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Finding the Fourth Proportional to 381,374.51, 526,258.50 and 228,408.78

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Solution

The fourth proportional to 381,374.51, 526,258.50 and 228,408.78 is: 315,181.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,374.51 : 526,258.50 = 228,408.78 : x
  2. Step 2: Convert to fraction form
    381,374.51/526,258.50 = 228,408.78/x
  3. Step 3: Cross multiply
    381,374.51x = 526,258.50 × 228,408.78
  4. Step 4: Simplify right side
    381,374.51x = 120,202,061,949.63
  5. Step 5: Solve for x
    x = 120,202,061,949.63/381,374.51
  6. Step 6: Final answer
    x = 315,181.16

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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.