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Finding the Fourth Proportional to 460,382.40, 635,425.74 and 309,391.92

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Solution

The fourth proportional to 460,382.40, 635,425.74 and 309,391.92 is: 427,026.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,382.40 : 635,425.74 = 309,391.92 : x
  2. Step 2: Convert to fraction form
    460,382.40/635,425.74 = 309,391.92/x
  3. Step 3: Cross multiply
    460,382.40x = 635,425.74 × 309,391.92
  4. Step 4: Simplify right side
    460,382.40x = 196,595,589,716.02
  5. Step 5: Solve for x
    x = 196,595,589,716.02/460,382.40
  6. Step 6: Final answer
    x = 427,026.73

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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.