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Finding the Fourth Proportional to 482,582.14, 665,763.78 and 278,488.28

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Solution

The fourth proportional to 482,582.14, 665,763.78 and 278,488.28 is: 384,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,582.14 : 665,763.78 = 278,488.28 : x
  2. Step 2: Convert to fraction form
    482,582.14/665,763.78 = 278,488.28/x
  3. Step 3: Cross multiply
    482,582.14x = 665,763.78 × 278,488.28
  4. Step 4: Simplify right side
    482,582.14x = 185,407,407,694.01
  5. Step 5: Solve for x
    x = 185,407,407,694.01/482,582.14
  6. Step 6: Final answer
    x = 384,198.65

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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.