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Finding the Fourth Proportional to 256,878.20, 385,202.10 and 116,564.60

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Solution

The fourth proportional to 256,878.20, 385,202.10 and 116,564.60 is: 174,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,878.20 : 385,202.10 = 116,564.60 : x
  2. Step 2: Convert to fraction form
    256,878.20/385,202.10 = 116,564.60/x
  3. Step 3: Cross multiply
    256,878.20x = 385,202.10 × 116,564.60
  4. Step 4: Simplify right side
    256,878.20x = 44,900,928,705.66
  5. Step 5: Solve for x
    x = 44,900,928,705.66/256,878.20
  6. Step 6: Final answer
    x = 174,794.63

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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.