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Finding the Fourth Proportional to 258,902.82, 388,447.74 and 90,448.02

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Solution

The fourth proportional to 258,902.82, 388,447.74 and 90,448.02 is: 135,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,902.82 : 388,447.74 = 90,448.02 : x
  2. Step 2: Convert to fraction form
    258,902.82/388,447.74 = 90,448.02/x
  3. Step 3: Cross multiply
    258,902.82x = 388,447.74 × 90,448.02
  4. Step 4: Simplify right side
    258,902.82x = 35,134,328,956.47
  5. Step 5: Solve for x
    x = 35,134,328,956.47/258,902.82
  6. Step 6: Final answer
    x = 135,704.70

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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.