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Finding the Fourth Proportional to 277,676.34, 416,461.62 and 135,378.78

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Solution

The fourth proportional to 277,676.34, 416,461.62 and 135,378.78 is: 203,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,676.34 : 416,461.62 = 135,378.78 : x
  2. Step 2: Convert to fraction form
    277,676.34/416,461.62 = 135,378.78/x
  3. Step 3: Cross multiply
    277,676.34x = 416,461.62 × 135,378.78
  4. Step 4: Simplify right side
    277,676.34x = 56,380,066,032.42
  5. Step 5: Solve for x
    x = 56,380,066,032.42/277,676.34
  6. Step 6: Final answer
    x = 203,042.38

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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.