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Finding the Fourth Proportional to 256,102.33, 384,154.40 and 78,609.35

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Solution

The fourth proportional to 256,102.33, 384,154.40 and 78,609.35 is: 117,914.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,102.33 : 384,154.40 = 78,609.35 : x
  2. Step 2: Convert to fraction form
    256,102.33/384,154.40 = 78,609.35/x
  3. Step 3: Cross multiply
    256,102.33x = 384,154.40 × 78,609.35
  4. Step 4: Simplify right side
    256,102.33x = 30,198,128,840.55
  5. Step 5: Solve for x
    x = 30,198,128,840.55/256,102.33
  6. Step 6: Final answer
    x = 117,914.31

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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.