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Finding the Fourth Proportional to 331,053.40, 496,580.10 and 131,421.40

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Solution

The fourth proportional to 331,053.40, 496,580.10 and 131,421.40 is: 197,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,053.40 : 496,580.10 = 131,421.40 : x
  2. Step 2: Convert to fraction form
    331,053.40/496,580.10 = 131,421.40/x
  3. Step 3: Cross multiply
    331,053.40x = 496,580.10 × 131,421.40
  4. Step 4: Simplify right side
    331,053.40x = 65,261,251,954.14
  5. Step 5: Solve for x
    x = 65,261,251,954.14/331,053.40
  6. Step 6: Final answer
    x = 197,132.10

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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.