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Finding the Fourth Proportional to 469,517.82, 704,021.86 and 213,209.66

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Solution

The fourth proportional to 469,517.82, 704,021.86 and 213,209.66 is: 319,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,517.82 : 704,021.86 = 213,209.66 : x
  2. Step 2: Convert to fraction form
    469,517.82/704,021.86 = 213,209.66/x
  3. Step 3: Cross multiply
    469,517.82x = 704,021.86 × 213,209.66
  4. Step 4: Simplify right side
    469,517.82x = 150,104,261,403.17
  5. Step 5: Solve for x
    x = 150,104,261,403.17/469,517.82
  6. Step 6: Final answer
    x = 319,698.75

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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.