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Finding the Fourth Proportional to 664,956.02, 998,910.40 and 412,423.22

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Solution

The fourth proportional to 664,956.02, 998,910.40 and 412,423.22 is: 619,550.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,956.02 : 998,910.40 = 412,423.22 : x
  2. Step 2: Convert to fraction form
    664,956.02/998,910.40 = 412,423.22/x
  3. Step 3: Cross multiply
    664,956.02x = 998,910.40 × 412,423.22
  4. Step 4: Simplify right side
    664,956.02x = 411,973,843,659.49
  5. Step 5: Solve for x
    x = 411,973,843,659.49/664,956.02
  6. Step 6: Final answer
    x = 619,550.51

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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.