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Finding the Fourth Proportional to 630,538.29, 946,311.84 and 331,195.41

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Solution

The fourth proportional to 630,538.29, 946,311.84 and 331,195.41 is: 497,058.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    630,538.29 : 946,311.84 = 331,195.41 : x
  2. Step 2: Convert to fraction form
    630,538.29/946,311.84 = 331,195.41/x
  3. Step 3: Cross multiply
    630,538.29x = 946,311.84 × 331,195.41
  4. Step 4: Simplify right side
    630,538.29x = 313,414,137,836.65
  5. Step 5: Solve for x
    x = 313,414,137,836.65/630,538.29
  6. Step 6: Final answer
    x = 497,058.06

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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.