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Finding the Fourth Proportional to 493,329.36, 739,371 and 411,214.80

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Solution

The fourth proportional to 493,329.36, 739,371 and 411,214.80 is: 616,302.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,329.36 : 739,371 = 411,214.80 : x
  2. Step 2: Convert to fraction form
    493,329.36/739,371 = 411,214.80/x
  3. Step 3: Cross multiply
    493,329.36x = 739,371 × 411,214.80
  4. Step 4: Simplify right side
    493,329.36x = 304,040,297,890.80
  5. Step 5: Solve for x
    x = 304,040,297,890.80/493,329.36
  6. Step 6: Final answer
    x = 616,302.86

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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.