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Finding the Fourth Proportional to 409,096.44, 613,743.06 and 128,613.48

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Solution

The fourth proportional to 409,096.44, 613,743.06 and 128,613.48 is: 192,951.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,096.44 : 613,743.06 = 128,613.48 : x
  2. Step 2: Convert to fraction form
    409,096.44/613,743.06 = 128,613.48/x
  3. Step 3: Cross multiply
    409,096.44x = 613,743.06 × 128,613.48
  4. Step 4: Simplify right side
    409,096.44x = 78,935,630,772.45
  5. Step 5: Solve for x
    x = 78,935,630,772.45/409,096.44
  6. Step 6: Final answer
    x = 192,951.16

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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.