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Finding the Fourth Proportional to 258,794.91, 388,197.53 and 69,254.98

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Solution

The fourth proportional to 258,794.91, 388,197.53 and 69,254.98 is: 103,883.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,794.91 : 388,197.53 = 69,254.98 : x
  2. Step 2: Convert to fraction form
    258,794.91/388,197.53 = 69,254.98/x
  3. Step 3: Cross multiply
    258,794.91x = 388,197.53 × 69,254.98
  4. Step 4: Simplify right side
    258,794.91x = 26,884,611,119.14
  5. Step 5: Solve for x
    x = 26,884,611,119.14/258,794.91
  6. Step 6: Final answer
    x = 103,883.85

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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.