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Finding the Fourth Proportional to 431,207.64, 646,796.88 and 131,676.12

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Solution

The fourth proportional to 431,207.64, 646,796.88 and 131,676.12 is: 197,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,207.64 : 646,796.88 = 131,676.12 : x
  2. Step 2: Convert to fraction form
    431,207.64/646,796.88 = 131,676.12/x
  3. Step 3: Cross multiply
    431,207.64x = 646,796.88 × 131,676.12
  4. Step 4: Simplify right side
    431,207.64x = 85,167,703,586.51
  5. Step 5: Solve for x
    x = 85,167,703,586.51/431,207.64
  6. Step 6: Final answer
    x = 197,509.73

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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.