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Finding the Fourth Proportional to 331,428.96, 497,208.42 and 131,712.12

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Solution

The fourth proportional to 331,428.96, 497,208.42 and 131,712.12 is: 197,594.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,428.96 : 497,208.42 = 131,712.12 : x
  2. Step 2: Convert to fraction form
    331,428.96/497,208.42 = 131,712.12/x
  3. Step 3: Cross multiply
    331,428.96x = 497,208.42 × 131,712.12
  4. Step 4: Simplify right side
    331,428.96x = 65,488,375,080.05
  5. Step 5: Solve for x
    x = 65,488,375,080.05/331,428.96
  6. Step 6: Final answer
    x = 197,594.00

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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.