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Finding the Fourth Proportional to 289,638.40, 434,846.40 and 184,921.60

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Solution

The fourth proportional to 289,638.40, 434,846.40 and 184,921.60 is: 277,630.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,638.40 : 434,846.40 = 184,921.60 : x
  2. Step 2: Convert to fraction form
    289,638.40/434,846.40 = 184,921.60/x
  3. Step 3: Cross multiply
    289,638.40x = 434,846.40 × 184,921.60
  4. Step 4: Simplify right side
    289,638.40x = 80,412,492,042.24
  5. Step 5: Solve for x
    x = 80,412,492,042.24/289,638.40
  6. Step 6: Final answer
    x = 277,630.63

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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.