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Finding the Fourth Proportional to 312,682.49, 469,018.79 and 99,447.33

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Solution

The fourth proportional to 312,682.49, 469,018.79 and 99,447.33 is: 149,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,682.49 : 469,018.79 = 99,447.33 : x
  2. Step 2: Convert to fraction form
    312,682.49/469,018.79 = 99,447.33/x
  3. Step 3: Cross multiply
    312,682.49x = 469,018.79 × 99,447.33
  4. Step 4: Simplify right side
    312,682.49x = 46,642,668,019.84
  5. Step 5: Solve for x
    x = 46,642,668,019.84/312,682.49
  6. Step 6: Final answer
    x = 149,169.43

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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.