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Finding the Fourth Proportional to 394,084.40, 590,980.80 and 127,853.60

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Solution

The fourth proportional to 394,084.40, 590,980.80 and 127,853.60 is: 191,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,084.40 : 590,980.80 = 127,853.60 : x
  2. Step 2: Convert to fraction form
    394,084.40/590,980.80 = 127,853.60/x
  3. Step 3: Cross multiply
    394,084.40x = 590,980.80 × 127,853.60
  4. Step 4: Simplify right side
    394,084.40x = 75,559,022,810.88
  5. Step 5: Solve for x
    x = 75,559,022,810.88/394,084.40
  6. Step 6: Final answer
    x = 191,733.10

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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.