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Finding the Fourth Proportional to 642,668.11, 964,085.09 and 216,019.95

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Solution

The fourth proportional to 642,668.11, 964,085.09 and 216,019.95 is: 324,057.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,668.11 : 964,085.09 = 216,019.95 : x
  2. Step 2: Convert to fraction form
    642,668.11/964,085.09 = 216,019.95/x
  3. Step 3: Cross multiply
    642,668.11x = 964,085.09 × 216,019.95
  4. Step 4: Simplify right side
    642,668.11x = 208,261,608,242.13
  5. Step 5: Solve for x
    x = 208,261,608,242.13/642,668.11
  6. Step 6: Final answer
    x = 324,057.79

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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.