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Finding the Fourth Proportional to 331,431.92, 496,762.20 and 189,376.71

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Solution

The fourth proportional to 331,431.92, 496,762.20 and 189,376.71 is: 283,844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,431.92 : 496,762.20 = 189,376.71 : x
  2. Step 2: Convert to fraction form
    331,431.92/496,762.20 = 189,376.71/x
  3. Step 3: Cross multiply
    331,431.92x = 496,762.20 × 189,376.71
  4. Step 4: Simplify right side
    331,431.92x = 94,075,189,225.50
  5. Step 5: Solve for x
    x = 94,075,189,225.50/331,431.92
  6. Step 6: Final answer
    x = 283,844.68

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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.