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Finding the Fourth Proportional to 256,986.60, 385,220.70 and 116,845.80

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Solution

The fourth proportional to 256,986.60, 385,220.70 and 116,845.80 is: 175,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,986.60 : 385,220.70 = 116,845.80 : x
  2. Step 2: Convert to fraction form
    256,986.60/385,220.70 = 116,845.80/x
  3. Step 3: Cross multiply
    256,986.60x = 385,220.70 × 116,845.80
  4. Step 4: Simplify right side
    256,986.60x = 45,011,420,868.06
  5. Step 5: Solve for x
    x = 45,011,420,868.06/256,986.60
  6. Step 6: Final answer
    x = 175,150.85

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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.