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Finding the Fourth Proportional to 256,917.10, 385,116.45 and 116,776.30

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Solution

The fourth proportional to 256,917.10, 385,116.45 and 116,776.30 is: 175,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,917.10 : 385,116.45 = 116,776.30 : x
  2. Step 2: Convert to fraction form
    256,917.10/385,116.45 = 116,776.30/x
  3. Step 3: Cross multiply
    256,917.10x = 385,116.45 × 116,776.30
  4. Step 4: Simplify right side
    256,917.10x = 44,972,474,100.14
  5. Step 5: Solve for x
    x = 44,972,474,100.14/256,917.10
  6. Step 6: Final answer
    x = 175,046.64

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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.