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Finding the Fourth Proportional to 382,893.28, 528,383.60 and 213,123.76

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Solution

The fourth proportional to 382,893.28, 528,383.60 and 213,123.76 is: 294,105.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,893.28 : 528,383.60 = 213,123.76 : x
  2. Step 2: Convert to fraction form
    382,893.28/528,383.60 = 213,123.76/x
  3. Step 3: Cross multiply
    382,893.28x = 528,383.60 × 213,123.76
  4. Step 4: Simplify right side
    382,893.28x = 112,611,099,554.34
  5. Step 5: Solve for x
    x = 112,611,099,554.34/382,893.28
  6. Step 6: Final answer
    x = 294,105.71

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1.5x scale

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.