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Finding the Fourth Proportional to 318,615.30, 439,465.22 and 209,684.94

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Solution

The fourth proportional to 318,615.30, 439,465.22 and 209,684.94 is: 289,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,615.30 : 439,465.22 = 209,684.94 : x
  2. Step 2: Convert to fraction form
    318,615.30/439,465.22 = 209,684.94/x
  3. Step 3: Cross multiply
    318,615.30x = 439,465.22 × 209,684.94
  4. Step 4: Simplify right side
    318,615.30x = 92,149,237,239.36
  5. Step 5: Solve for x
    x = 92,149,237,239.36/318,615.30
  6. Step 6: Final answer
    x = 289,217.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.