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Finding the Fourth Proportional to 256,359.90, 384,540.80 and 78,865.68

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Solution

The fourth proportional to 256,359.90, 384,540.80 and 78,865.68 is: 118,298.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,359.90 : 384,540.80 = 78,865.68 : x
  2. Step 2: Convert to fraction form
    256,359.90/384,540.80 = 78,865.68/x
  3. Step 3: Cross multiply
    256,359.90x = 384,540.80 × 78,865.68
  4. Step 4: Simplify right side
    256,359.90x = 30,327,071,679.74
  5. Step 5: Solve for x
    x = 30,327,071,679.74/256,359.90
  6. Step 6: Final answer
    x = 118,298.81

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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.