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Finding the Fourth Proportional to 258,976.16, 388,464 and 81,496.64

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Solution

The fourth proportional to 258,976.16, 388,464 and 81,496.64 is: 122,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,976.16 : 388,464 = 81,496.64 : x
  2. Step 2: Convert to fraction form
    258,976.16/388,464 = 81,496.64/x
  3. Step 3: Cross multiply
    258,976.16x = 388,464 × 81,496.64
  4. Step 4: Simplify right side
    258,976.16x = 31,658,510,760.96
  5. Step 5: Solve for x
    x = 31,658,510,760.96/258,976.16
  6. Step 6: Final answer
    x = 122,244.88

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1.5x scale

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.