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Finding the Fourth Proportional to 256,662.26, 384,734.89 and 106,985.40

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Solution

The fourth proportional to 256,662.26, 384,734.89 and 106,985.40 is: 160,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,662.26 : 384,734.89 = 106,985.40 : x
  2. Step 2: Convert to fraction form
    256,662.26/384,734.89 = 106,985.40/x
  3. Step 3: Cross multiply
    256,662.26x = 384,734.89 × 106,985.40
  4. Step 4: Simplify right side
    256,662.26x = 41,161,016,100.61
  5. Step 5: Solve for x
    x = 41,161,016,100.61/256,662.26
  6. Step 6: Final answer
    x = 160,370.35

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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.