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Finding the Fourth Proportional to 258,704.03, 388,056.15 and 116,383.07

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Solution

The fourth proportional to 258,704.03, 388,056.15 and 116,383.07 is: 174,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,704.03 : 388,056.15 = 116,383.07 : x
  2. Step 2: Convert to fraction form
    258,704.03/388,056.15 = 116,383.07/x
  3. Step 3: Cross multiply
    258,704.03x = 388,056.15 × 116,383.07
  4. Step 4: Simplify right side
    258,704.03x = 45,163,167,039.52
  5. Step 5: Solve for x
    x = 45,163,167,039.52/258,704.03
  6. Step 6: Final answer
    x = 174,574.65

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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.