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Finding the Fourth Proportional to 328,430, 492,716.46 and 100,725.74

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Solution

The fourth proportional to 328,430, 492,716.46 and 100,725.74 is: 151,110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,430 : 492,716.46 = 100,725.74 : x
  2. Step 2: Convert to fraction form
    328,430/492,716.46 = 100,725.74/x
  3. Step 3: Cross multiply
    328,430x = 492,716.46 × 100,725.74
  4. Step 4: Simplify right side
    328,430x = 49,629,230,043.68
  5. Step 5: Solve for x
    x = 49,629,230,043.68/328,430
  6. Step 6: Final answer
    x = 151,110.53

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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.