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Finding the Fourth Proportional to 642,231.40, 962,310.30 and 405,149.80

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Solution

The fourth proportional to 642,231.40, 962,310.30 and 405,149.80 is: 607,070.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,231.40 : 962,310.30 = 405,149.80 : x
  2. Step 2: Convert to fraction form
    642,231.40/962,310.30 = 405,149.80/x
  3. Step 3: Cross multiply
    642,231.40x = 962,310.30 × 405,149.80
  4. Step 4: Simplify right side
    642,231.40x = 389,879,825,582.94
  5. Step 5: Solve for x
    x = 389,879,825,582.94/642,231.40
  6. Step 6: Final answer
    x = 607,070.64

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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.