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Finding the Fourth Proportional to 289,353.11, 434,029.72 and 120,781.48

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Solution

The fourth proportional to 289,353.11, 434,029.72 and 120,781.48 is: 181,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,353.11 : 434,029.72 = 120,781.48 : x
  2. Step 2: Convert to fraction form
    289,353.11/434,029.72 = 120,781.48/x
  3. Step 3: Cross multiply
    289,353.11x = 434,029.72 × 120,781.48
  4. Step 4: Simplify right side
    289,353.11x = 52,422,751,945.59
  5. Step 5: Solve for x
    x = 52,422,751,945.59/289,353.11
  6. Step 6: Final answer
    x = 181,172.24

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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.