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Finding the Fourth Proportional to 446,891.88, 669,440.29 and 206,669.07

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Solution

The fourth proportional to 446,891.88, 669,440.29 and 206,669.07 is: 309,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,891.88 : 669,440.29 = 206,669.07 : x
  2. Step 2: Convert to fraction form
    446,891.88/669,440.29 = 206,669.07/x
  3. Step 3: Cross multiply
    446,891.88x = 669,440.29 × 206,669.07
  4. Step 4: Simplify right side
    446,891.88x = 138,352,602,154.83
  5. Step 5: Solve for x
    x = 138,352,602,154.83/446,891.88
  6. Step 6: Final answer
    x = 309,588.53

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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.