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Finding the Fourth Proportional to 258,903.82, 388,449.24 and 90,449.02

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Solution

The fourth proportional to 258,903.82, 388,449.24 and 90,449.02 is: 135,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,903.82 : 388,449.24 = 90,449.02 : x
  2. Step 2: Convert to fraction form
    258,903.82/388,449.24 = 90,449.02/x
  3. Step 3: Cross multiply
    258,903.82x = 388,449.24 × 90,449.02
  4. Step 4: Simplify right side
    258,903.82x = 35,134,853,077.74
  5. Step 5: Solve for x
    x = 35,134,853,077.74/258,903.82
  6. Step 6: Final answer
    x = 135,706.20

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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.