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Finding the Fourth Proportional to 289,306.97, 434,029.22 and 120,733.64

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Solution

The fourth proportional to 289,306.97, 434,029.22 and 120,733.64 is: 181,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,306.97 : 434,029.22 = 120,733.64 : x
  2. Step 2: Convert to fraction form
    289,306.97/434,029.22 = 120,733.64/x
  3. Step 3: Cross multiply
    289,306.97x = 434,029.22 × 120,733.64
  4. Step 4: Simplify right side
    289,306.97x = 52,401,926,993.29
  5. Step 5: Solve for x
    x = 52,401,926,993.29/289,306.97
  6. Step 6: Final answer
    x = 181,129.15

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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.