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Finding the Fourth Proportional to 289,391.85, 434,087.95 and 120,820.28

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Solution

The fourth proportional to 289,391.85, 434,087.95 and 120,820.28 is: 181,230.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,391.85 : 434,087.95 = 120,820.28 : x
  2. Step 2: Convert to fraction form
    289,391.85/434,087.95 = 120,820.28/x
  3. Step 3: Cross multiply
    289,391.85x = 434,087.95 × 120,820.28
  4. Step 4: Simplify right side
    289,391.85x = 52,446,628,910.39
  5. Step 5: Solve for x
    x = 52,446,628,910.39/289,391.85
  6. Step 6: Final answer
    x = 181,230.50

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1.5x scale

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.