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Finding the Fourth Proportional to 368,936.75, 509,045.23 and 207,759.71

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Solution

The fourth proportional to 368,936.75, 509,045.23 and 207,759.71 is: 286,659.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,936.75 : 509,045.23 = 207,759.71 : x
  2. Step 2: Convert to fraction form
    368,936.75/509,045.23 = 207,759.71/x
  3. Step 3: Cross multiply
    368,936.75x = 509,045.23 × 207,759.71
  4. Step 4: Simplify right side
    368,936.75x = 105,759,089,361.68
  5. Step 5: Solve for x
    x = 105,759,089,361.68/368,936.75
  6. Step 6: Final answer
    x = 286,659.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.