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Finding the Fourth Proportional to 289,352.11, 434,028.22 and 120,780.48

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Solution

The fourth proportional to 289,352.11, 434,028.22 and 120,780.48 is: 181,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.11 : 434,028.22 = 120,780.48 : x
  2. Step 2: Convert to fraction form
    289,352.11/434,028.22 = 120,780.48/x
  3. Step 3: Cross multiply
    289,352.11x = 434,028.22 × 120,780.48
  4. Step 4: Simplify right side
    289,352.11x = 52,422,136,443.19
  5. Step 5: Solve for x
    x = 52,422,136,443.19/289,352.11
  6. Step 6: Final answer
    x = 181,170.74

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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.