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Finding the Fourth Proportional to 399,550.10, 551,357 and 218,225.92

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Solution

The fourth proportional to 399,550.10, 551,357 and 218,225.92 is: 301,139.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,550.10 : 551,357 = 218,225.92 : x
  2. Step 2: Convert to fraction form
    399,550.10/551,357 = 218,225.92/x
  3. Step 3: Cross multiply
    399,550.10x = 551,357 × 218,225.92
  4. Step 4: Simplify right side
    399,550.10x = 120,320,388,573.44
  5. Step 5: Solve for x
    x = 120,320,388,573.44/399,550.10
  6. Step 6: Final answer
    x = 301,139.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.