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Finding the Fourth Proportional to 329,711.40, 494,858.70 and 282,472.20

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Solution

The fourth proportional to 329,711.40, 494,858.70 and 282,472.20 is: 423,958.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,711.40 : 494,858.70 = 282,472.20 : x
  2. Step 2: Convert to fraction form
    329,711.40/494,858.70 = 282,472.20/x
  3. Step 3: Cross multiply
    329,711.40x = 494,858.70 × 282,472.20
  4. Step 4: Simplify right side
    329,711.40x = 139,783,825,678.14
  5. Step 5: Solve for x
    x = 139,783,825,678.14/329,711.40
  6. Step 6: Final answer
    x = 423,958.12

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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.