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Finding the Fourth Proportional to 460,604.69, 690,382.91 and 280,292.43

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Solution

The fourth proportional to 460,604.69, 690,382.91 and 280,292.43 is: 420,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,604.69 : 690,382.91 = 280,292.43 : x
  2. Step 2: Convert to fraction form
    460,604.69/690,382.91 = 280,292.43/x
  3. Step 3: Cross multiply
    460,604.69x = 690,382.91 × 280,292.43
  4. Step 4: Simplify right side
    460,604.69x = 193,509,104,175.10
  5. Step 5: Solve for x
    x = 193,509,104,175.10/460,604.69
  6. Step 6: Final answer
    x = 420,119.70

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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.