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Finding the Fourth Proportional to 331,157.82, 496,810.80 and 120,795.76

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Solution

The fourth proportional to 331,157.82, 496,810.80 and 120,795.76 is: 181,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,157.82 : 496,810.80 = 120,795.76 : x
  2. Step 2: Convert to fraction form
    331,157.82/496,810.80 = 120,795.76/x
  3. Step 3: Cross multiply
    331,157.82x = 496,810.80 × 120,795.76
  4. Step 4: Simplify right side
    331,157.82x = 60,012,638,162.21
  5. Step 5: Solve for x
    x = 60,012,638,162.21/331,157.82
  6. Step 6: Final answer
    x = 181,220.66

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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.