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Finding the Fourth Proportional to 216,605.34, 324,908.01 and 142,716.06

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Solution

The fourth proportional to 216,605.34, 324,908.01 and 142,716.06 is: 214,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,605.34 : 324,908.01 = 142,716.06 : x
  2. Step 2: Convert to fraction form
    216,605.34/324,908.01 = 142,716.06/x
  3. Step 3: Cross multiply
    216,605.34x = 324,908.01 × 142,716.06
  4. Step 4: Simplify right side
    216,605.34x = 46,369,591,049.64
  5. Step 5: Solve for x
    x = 46,369,591,049.64/216,605.34
  6. Step 6: Final answer
    x = 214,074.09

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1.5x scale

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.