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Finding the Fourth Proportional to 289,352.42, 434,028.68 and 120,780.79

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Solution

The fourth proportional to 289,352.42, 434,028.68 and 120,780.79 is: 181,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,352.42 : 434,028.68 = 120,780.79 : x
  2. Step 2: Convert to fraction form
    289,352.42/434,028.68 = 120,780.79/x
  3. Step 3: Cross multiply
    289,352.42x = 434,028.68 × 120,780.79
  4. Step 4: Simplify right side
    289,352.42x = 52,422,326,853.06
  5. Step 5: Solve for x
    x = 52,422,326,853.06/289,352.42
  6. Step 6: Final answer
    x = 181,171.21

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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.