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Finding the Fourth Proportional to 329,709.40, 494,564.10 and 228,232.60

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Solution

The fourth proportional to 329,709.40, 494,564.10 and 228,232.60 is: 342,348.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,709.40 : 494,564.10 = 228,232.60 : x
  2. Step 2: Convert to fraction form
    329,709.40/494,564.10 = 228,232.60/x
  3. Step 3: Cross multiply
    329,709.40x = 494,564.10 × 228,232.60
  4. Step 4: Simplify right side
    329,709.40x = 112,875,650,409.66
  5. Step 5: Solve for x
    x = 112,875,650,409.66/329,709.40
  6. Step 6: Final answer
    x = 342,348.90

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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.