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Finding the Fourth Proportional to 383,664.82, 575,663.04 and 205,964.32

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Solution

The fourth proportional to 383,664.82, 575,663.04 and 205,964.32 is: 309,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,664.82 : 575,663.04 = 205,964.32 : x
  2. Step 2: Convert to fraction form
    383,664.82/575,663.04 = 205,964.32/x
  3. Step 3: Cross multiply
    383,664.82x = 575,663.04 × 205,964.32
  4. Step 4: Simplify right side
    383,664.82x = 118,566,046,582.73
  5. Step 5: Solve for x
    x = 118,566,046,582.73/383,664.82
  6. Step 6: Final answer
    x = 309,035.49

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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.