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Finding the Fourth Proportional to 216,419.42, 324,629.21 and 56,494.90

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Solution

The fourth proportional to 216,419.42, 324,629.21 and 56,494.90 is: 84,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,419.42 : 324,629.21 = 56,494.90 : x
  2. Step 2: Convert to fraction form
    216,419.42/324,629.21 = 56,494.90/x
  3. Step 3: Cross multiply
    216,419.42x = 324,629.21 × 56,494.90
  4. Step 4: Simplify right side
    216,419.42x = 18,339,895,144.16
  5. Step 5: Solve for x
    x = 18,339,895,144.16/216,419.42
  6. Step 6: Final answer
    x = 84,742.37

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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.