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Finding the Fourth Proportional to 664,958.52, 998,914.15 and 412,425.72

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Solution

The fourth proportional to 664,958.52, 998,914.15 and 412,425.72 is: 619,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,958.52 : 998,914.15 = 412,425.72 : x
  2. Step 2: Convert to fraction form
    664,958.52/998,914.15 = 412,425.72/x
  3. Step 3: Cross multiply
    664,958.52x = 998,914.15 × 412,425.72
  4. Step 4: Simplify right side
    664,958.52x = 411,977,887,531.94
  5. Step 5: Solve for x
    x = 411,977,887,531.94/664,958.52
  6. Step 6: Final answer
    x = 619,554.27

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1.5x scale

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.