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Finding the Fourth Proportional to 411,202.96, 616,672.32 and 130,654.64

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Solution

The fourth proportional to 411,202.96, 616,672.32 and 130,654.64 is: 195,939.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,202.96 : 616,672.32 = 130,654.64 : x
  2. Step 2: Convert to fraction form
    411,202.96/616,672.32 = 130,654.64/x
  3. Step 3: Cross multiply
    411,202.96x = 616,672.32 × 130,654.64
  4. Step 4: Simplify right side
    411,202.96x = 80,571,099,967.56
  5. Step 5: Solve for x
    x = 80,571,099,967.56/411,202.96
  6. Step 6: Final answer
    x = 195,939.98

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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.