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Finding the Fourth Proportional to 256,444.88, 384,628.40 and 90,194

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Solution

The fourth proportional to 256,444.88, 384,628.40 and 90,194 is: 135,277.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,444.88 : 384,628.40 = 90,194 : x
  2. Step 2: Convert to fraction form
    256,444.88/384,628.40 = 90,194/x
  3. Step 3: Cross multiply
    256,444.88x = 384,628.40 × 90,194
  4. Step 4: Simplify right side
    256,444.88x = 34,691,173,909.60
  5. Step 5: Solve for x
    x = 34,691,173,909.60/256,444.88
  6. Step 6: Final answer
    x = 135,277.31

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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.