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Finding the Fourth Proportional to 413,825.84, 620,403.77 and 129,369.94

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Solution

The fourth proportional to 413,825.84, 620,403.77 and 129,369.94 is: 193,950.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,825.84 : 620,403.77 = 129,369.94 : x
  2. Step 2: Convert to fraction form
    413,825.84/620,403.77 = 129,369.94/x
  3. Step 3: Cross multiply
    413,825.84x = 620,403.77 × 129,369.94
  4. Step 4: Simplify right side
    413,825.84x = 80,261,598,500.67
  5. Step 5: Solve for x
    x = 80,261,598,500.67/413,825.84
  6. Step 6: Final answer
    x = 193,950.19

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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.