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Finding the Fourth Proportional to 428,056.65, 641,494.49 and 322,759.89

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Solution

The fourth proportional to 428,056.65, 641,494.49 and 322,759.89 is: 483,694.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,056.65 : 641,494.49 = 322,759.89 : x
  2. Step 2: Convert to fraction form
    428,056.65/641,494.49 = 322,759.89/x
  3. Step 3: Cross multiply
    428,056.65x = 641,494.49 × 322,759.89
  4. Step 4: Simplify right side
    428,056.65x = 207,048,689,414.21
  5. Step 5: Solve for x
    x = 207,048,689,414.21/428,056.65
  6. Step 6: Final answer
    x = 483,694.60

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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.