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Finding the Fourth Proportional to 413,378.94, 620,068.18 and 129,093.85

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Solution

The fourth proportional to 413,378.94, 620,068.18 and 129,093.85 is: 193,640.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,378.94 : 620,068.18 = 129,093.85 : x
  2. Step 2: Convert to fraction form
    413,378.94/620,068.18 = 129,093.85/x
  3. Step 3: Cross multiply
    413,378.94x = 620,068.18 × 129,093.85
  4. Step 4: Simplify right side
    413,378.94x = 80,046,989,313.09
  5. Step 5: Solve for x
    x = 80,046,989,313.09/413,378.94
  6. Step 6: Final answer
    x = 193,640.70

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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.