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Finding the Fourth Proportional to 258,997.68, 388,340.64 and 101,300.40

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Solution

The fourth proportional to 258,997.68, 388,340.64 and 101,300.40 is: 151,889.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,997.68 : 388,340.64 = 101,300.40 : x
  2. Step 2: Convert to fraction form
    258,997.68/388,340.64 = 101,300.40/x
  3. Step 3: Cross multiply
    258,997.68x = 388,340.64 × 101,300.40
  4. Step 4: Simplify right side
    258,997.68x = 39,339,062,168.26
  5. Step 5: Solve for x
    x = 39,339,062,168.26/258,997.68
  6. Step 6: Final answer
    x = 151,889.63

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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.