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Finding the Fourth Proportional to 641,212.84, 962,040.30 and 286,471.72

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Solution

The fourth proportional to 641,212.84, 962,040.30 and 286,471.72 is: 429,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,212.84 : 962,040.30 = 286,471.72 : x
  2. Step 2: Convert to fraction form
    641,212.84/962,040.30 = 286,471.72/x
  3. Step 3: Cross multiply
    641,212.84x = 962,040.30 × 286,471.72
  4. Step 4: Simplify right side
    641,212.84x = 275,597,339,450.32
  5. Step 5: Solve for x
    x = 275,597,339,450.32/641,212.84
  6. Step 6: Final answer
    x = 429,806.33

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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.