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Finding the Fourth Proportional to 256,693, 385,195.04 and 108,949

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Solution

The fourth proportional to 256,693, 385,195.04 and 108,949 is: 163,489.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,693 : 385,195.04 = 108,949 : x
  2. Step 2: Convert to fraction form
    256,693/385,195.04 = 108,949/x
  3. Step 3: Cross multiply
    256,693x = 385,195.04 × 108,949
  4. Step 4: Simplify right side
    256,693x = 41,966,614,412.96
  5. Step 5: Solve for x
    x = 41,966,614,412.96/256,693
  6. Step 6: Final answer
    x = 163,489.52

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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.