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Finding the Fourth Proportional to 256,086.40, 384,129.60 and 69,097.60

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Solution

The fourth proportional to 256,086.40, 384,129.60 and 69,097.60 is: 103,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,086.40 : 384,129.60 = 69,097.60 : x
  2. Step 2: Convert to fraction form
    256,086.40/384,129.60 = 69,097.60/x
  3. Step 3: Cross multiply
    256,086.40x = 384,129.60 × 69,097.60
  4. Step 4: Simplify right side
    256,086.40x = 26,542,433,448.96
  5. Step 5: Solve for x
    x = 26,542,433,448.96/256,086.40
  6. Step 6: Final answer
    x = 103,646.40

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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.