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Finding the Fourth Proportional to 329,712.72, 491,606.14 and 301,562.54

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Solution

The fourth proportional to 329,712.72, 491,606.14 and 301,562.54 is: 449,633.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,712.72 : 491,606.14 = 301,562.54 : x
  2. Step 2: Convert to fraction form
    329,712.72/491,606.14 = 301,562.54/x
  3. Step 3: Cross multiply
    329,712.72x = 491,606.14 × 301,562.54
  4. Step 4: Simplify right side
    329,712.72x = 148,249,993,046.06
  5. Step 5: Solve for x
    x = 148,249,993,046.06/329,712.72
  6. Step 6: Final answer
    x = 449,633.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.