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Finding the Fourth Proportional to 256,676.88, 384,936.84 and 90,426

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Solution

The fourth proportional to 256,676.88, 384,936.84 and 90,426 is: 135,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,676.88 : 384,936.84 = 90,426 : x
  2. Step 2: Convert to fraction form
    256,676.88/384,936.84 = 90,426/x
  3. Step 3: Cross multiply
    256,676.88x = 384,936.84 × 90,426
  4. Step 4: Simplify right side
    256,676.88x = 34,808,298,693.84
  5. Step 5: Solve for x
    x = 34,808,298,693.84/256,676.88
  6. Step 6: Final answer
    x = 135,611.35

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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.