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Finding the Fourth Proportional to 256,255.42, 384,419.87 and 78,777.32

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Solution

The fourth proportional to 256,255.42, 384,419.87 and 78,777.32 is: 118,177.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,255.42 : 384,419.87 = 78,777.32 : x
  2. Step 2: Convert to fraction form
    256,255.42/384,419.87 = 78,777.32/x
  3. Step 3: Cross multiply
    256,255.42x = 384,419.87 × 78,777.32
  4. Step 4: Simplify right side
    256,255.42x = 30,283,567,113.35
  5. Step 5: Solve for x
    x = 30,283,567,113.35/256,255.42
  6. Step 6: Final answer
    x = 118,177.27

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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.