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Finding the Fourth Proportional to 256,780.73, 385,305.42 and 105,090.41

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Solution

The fourth proportional to 256,780.73, 385,305.42 and 105,090.41 is: 157,690.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,780.73 : 385,305.42 = 105,090.41 : x
  2. Step 2: Convert to fraction form
    256,780.73/385,305.42 = 105,090.41/x
  3. Step 3: Cross multiply
    256,780.73x = 385,305.42 × 105,090.41
  4. Step 4: Simplify right side
    256,780.73x = 40,491,905,920.37
  5. Step 5: Solve for x
    x = 40,491,905,920.37/256,780.73
  6. Step 6: Final answer
    x = 157,690.59

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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.