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Finding the Fourth Proportional to 256,122.78, 384,241.26 and 78,647.72

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Solution

The fourth proportional to 256,122.78, 384,241.26 and 78,647.72 is: 117,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,122.78 : 384,241.26 = 78,647.72 : x
  2. Step 2: Convert to fraction form
    256,122.78/384,241.26 = 78,647.72/x
  3. Step 3: Cross multiply
    256,122.78x = 384,241.26 × 78,647.72
  4. Step 4: Simplify right side
    256,122.78x = 30,219,699,028.93
  5. Step 5: Solve for x
    x = 30,219,699,028.93/256,122.78
  6. Step 6: Final answer
    x = 117,989.11

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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.