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Finding the Fourth Proportional to 256,858.20, 385,287.30 and 162,379.80

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Solution

The fourth proportional to 256,858.20, 385,287.30 and 162,379.80 is: 243,569.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,858.20 : 385,287.30 = 162,379.80 : x
  2. Step 2: Convert to fraction form
    256,858.20/385,287.30 = 162,379.80/x
  3. Step 3: Cross multiply
    256,858.20x = 385,287.30 × 162,379.80
  4. Step 4: Simplify right side
    256,858.20x = 62,562,874,716.54
  5. Step 5: Solve for x
    x = 62,562,874,716.54/256,858.20
  6. Step 6: Final answer
    x = 243,569.70

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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.