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Finding the Fourth Proportional to 663,123.53, 994,879.35 and 213,835.29

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Solution

The fourth proportional to 663,123.53, 994,879.35 and 213,835.29 is: 320,815.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,123.53 : 994,879.35 = 213,835.29 : x
  2. Step 2: Convert to fraction form
    663,123.53/994,879.35 = 213,835.29/x
  3. Step 3: Cross multiply
    663,123.53x = 994,879.35 × 213,835.29
  4. Step 4: Simplify right side
    663,123.53x = 212,740,314,322.26
  5. Step 5: Solve for x
    x = 212,740,314,322.26/663,123.53
  6. Step 6: Final answer
    x = 320,815.51

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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.