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Finding the Fourth Proportional to 255,922, 383,884.08 and 78,415.36

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Solution

The fourth proportional to 255,922, 383,884.08 and 78,415.36 is: 117,623.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,922 : 383,884.08 = 78,415.36 : x
  2. Step 2: Convert to fraction form
    255,922/383,884.08 = 78,415.36/x
  3. Step 3: Cross multiply
    255,922x = 383,884.08 × 78,415.36
  4. Step 4: Simplify right side
    255,922x = 30,102,408,331.47
  5. Step 5: Solve for x
    x = 30,102,408,331.47/255,922
  6. Step 6: Final answer
    x = 117,623.37

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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.