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Finding the Fourth Proportional to 290,003.52, 434,999.84 and 119,189.28

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Solution

The fourth proportional to 290,003.52, 434,999.84 and 119,189.28 is: 178,781.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,003.52 : 434,999.84 = 119,189.28 : x
  2. Step 2: Convert to fraction form
    290,003.52/434,999.84 = 119,189.28/x
  3. Step 3: Cross multiply
    290,003.52x = 434,999.84 × 119,189.28
  4. Step 4: Simplify right side
    290,003.52x = 51,847,317,729.72
  5. Step 5: Solve for x
    x = 51,847,317,729.72/290,003.52
  6. Step 6: Final answer
    x = 178,781.68

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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.