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Finding the Fourth Proportional to 289,105.20, 434,046.60 and 184,129.20

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Solution

The fourth proportional to 289,105.20, 434,046.60 and 184,129.20 is: 276,441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,105.20 : 434,046.60 = 184,129.20 : x
  2. Step 2: Convert to fraction form
    289,105.20/434,046.60 = 184,129.20/x
  3. Step 3: Cross multiply
    289,105.20x = 434,046.60 × 184,129.20
  4. Step 4: Simplify right side
    289,105.20x = 79,920,653,220.72
  5. Step 5: Solve for x
    x = 79,920,653,220.72/289,105.20
  6. Step 6: Final answer
    x = 276,441.42

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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.