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Finding the Fourth Proportional to 324,438.86, 486,704.86 and 99,818.16

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Solution

The fourth proportional to 324,438.86, 486,704.86 and 99,818.16 is: 149,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,438.86 : 486,704.86 = 99,818.16 : x
  2. Step 2: Convert to fraction form
    324,438.86/486,704.86 = 99,818.16/x
  3. Step 3: Cross multiply
    324,438.86x = 486,704.86 × 99,818.16
  4. Step 4: Simplify right side
    324,438.86x = 48,581,983,588.26
  5. Step 5: Solve for x
    x = 48,581,983,588.26/324,438.86
  6. Step 6: Final answer
    x = 149,741.57

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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.