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Finding the Fourth Proportional to 280,954.10, 421,431.15 and 278,329.70

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Solution

The fourth proportional to 280,954.10, 421,431.15 and 278,329.70 is: 417,494.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,954.10 : 421,431.15 = 278,329.70 : x
  2. Step 2: Convert to fraction form
    280,954.10/421,431.15 = 278,329.70/x
  3. Step 3: Cross multiply
    280,954.10x = 421,431.15 × 278,329.70
  4. Step 4: Simplify right side
    280,954.10x = 117,296,805,550.16
  5. Step 5: Solve for x
    x = 117,296,805,550.16/280,954.10
  6. Step 6: Final answer
    x = 417,494.55

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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.