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Finding the Fourth Proportional to 413,823.84, 620,400.77 and 129,367.94

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Solution

The fourth proportional to 413,823.84, 620,400.77 and 129,367.94 is: 193,947.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,823.84 : 620,400.77 = 129,367.94 : x
  2. Step 2: Convert to fraction form
    413,823.84/620,400.77 = 129,367.94/x
  3. Step 3: Cross multiply
    413,823.84x = 620,400.77 × 129,367.94
  4. Step 4: Simplify right side
    413,823.84x = 80,259,966,325.60
  5. Step 5: Solve for x
    x = 80,259,966,325.60/413,823.84
  6. Step 6: Final answer
    x = 193,947.18

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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.