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Finding the Fourth Proportional to 256,938.96, 385,999.16 and 182,243.92

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Solution

The fourth proportional to 256,938.96, 385,999.16 and 182,243.92 is: 273,784.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,938.96 : 385,999.16 = 182,243.92 : x
  2. Step 2: Convert to fraction form
    256,938.96/385,999.16 = 182,243.92/x
  3. Step 3: Cross multiply
    256,938.96x = 385,999.16 × 182,243.92
  4. Step 4: Simplify right side
    256,938.96x = 70,346,000,035.11
  5. Step 5: Solve for x
    x = 70,346,000,035.11/256,938.96
  6. Step 6: Final answer
    x = 273,784.87

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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.