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Finding the Fourth Proportional to 255,284.90, 382,927.36 and 122,133.86

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Solution

The fourth proportional to 255,284.90, 382,927.36 and 122,133.86 is: 183,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,284.90 : 382,927.36 = 122,133.86 : x
  2. Step 2: Convert to fraction form
    255,284.90/382,927.36 = 122,133.86/x
  3. Step 3: Cross multiply
    255,284.90x = 382,927.36 × 122,133.86
  4. Step 4: Simplify right side
    255,284.90x = 46,768,396,576.41
  5. Step 5: Solve for x
    x = 46,768,396,576.41/255,284.90
  6. Step 6: Final answer
    x = 183,200.79

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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.