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Finding the Fourth Proportional to 491,494.40, 735,827.34 and 440,208.44

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Solution

The fourth proportional to 491,494.40, 735,827.34 and 440,208.44 is: 659,045.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,494.40 : 735,827.34 = 440,208.44 : x
  2. Step 2: Convert to fraction form
    491,494.40/735,827.34 = 440,208.44/x
  3. Step 3: Cross multiply
    491,494.40x = 735,827.34 × 440,208.44
  4. Step 4: Simplify right side
    491,494.40x = 323,917,405,450.75
  5. Step 5: Solve for x
    x = 323,917,405,450.75/491,494.40
  6. Step 6: Final answer
    x = 659,045.97

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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.