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Finding the Fourth Proportional to 329,217.89, 493,729.43 and 139,675.86

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Solution

The fourth proportional to 329,217.89, 493,729.43 and 139,675.86 is: 209,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,217.89 : 493,729.43 = 139,675.86 : x
  2. Step 2: Convert to fraction form
    329,217.89/493,729.43 = 139,675.86/x
  3. Step 3: Cross multiply
    329,217.89x = 493,729.43 × 139,675.86
  4. Step 4: Simplify right side
    329,217.89x = 68,962,082,044.18
  5. Step 5: Solve for x
    x = 68,962,082,044.18/329,217.89
  6. Step 6: Final answer
    x = 209,472.47

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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.