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Finding the Fourth Proportional to 256,890.40, 384,817.20 and 178,093.60

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Solution

The fourth proportional to 256,890.40, 384,817.20 and 178,093.60 is: 266,781.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,890.40 : 384,817.20 = 178,093.60 : x
  2. Step 2: Convert to fraction form
    256,890.40/384,817.20 = 178,093.60/x
  3. Step 3: Cross multiply
    256,890.40x = 384,817.20 × 178,093.60
  4. Step 4: Simplify right side
    256,890.40x = 68,533,480,489.92
  5. Step 5: Solve for x
    x = 68,533,480,489.92/256,890.40
  6. Step 6: Final answer
    x = 266,781.01

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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.