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Finding the Fourth Proportional to 383,668.84, 575,669.06 and 205,968.32

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Solution

The fourth proportional to 383,668.84, 575,669.06 and 205,968.32 is: 309,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,668.84 : 575,669.06 = 205,968.32 : x
  2. Step 2: Convert to fraction form
    383,668.84/575,669.06 = 205,968.32/x
  3. Step 3: Cross multiply
    383,668.84x = 575,669.06 × 205,968.32
  4. Step 4: Simplify right side
    383,668.84x = 118,569,589,164.18
  5. Step 5: Solve for x
    x = 118,569,589,164.18/383,668.84
  6. Step 6: Final answer
    x = 309,041.49

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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.