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Finding the Fourth Proportional to 342,076.80, 512,769.60 and 155,222.40

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Solution

The fourth proportional to 342,076.80, 512,769.60 and 155,222.40 is: 232,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,076.80 : 512,769.60 = 155,222.40 : x
  2. Step 2: Convert to fraction form
    342,076.80/512,769.60 = 155,222.40/x
  3. Step 3: Cross multiply
    342,076.80x = 512,769.60 × 155,222.40
  4. Step 4: Simplify right side
    342,076.80x = 79,593,327,959.04
  5. Step 5: Solve for x
    x = 79,593,327,959.04/342,076.80
  6. Step 6: Final answer
    x = 232,676.78

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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.