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Finding the Fourth Proportional to 664,654.88, 997,215.60 and 415,045.28

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Solution

The fourth proportional to 664,654.88, 997,215.60 and 415,045.28 is: 622,713.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,654.88 : 997,215.60 = 415,045.28 : x
  2. Step 2: Convert to fraction form
    664,654.88/997,215.60 = 415,045.28/x
  3. Step 3: Cross multiply
    664,654.88x = 997,215.60 × 415,045.28
  4. Step 4: Simplify right side
    664,654.88x = 413,889,627,922.37
  5. Step 5: Solve for x
    x = 413,889,627,922.37/664,654.88
  6. Step 6: Final answer
    x = 622,713.59

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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.