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Finding the Fourth Proportional to 378,844.14, 522,802.50 and 209,078.28

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Solution

The fourth proportional to 378,844.14, 522,802.50 and 209,078.28 is: 288,526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,844.14 : 522,802.50 = 209,078.28 : x
  2. Step 2: Convert to fraction form
    378,844.14/522,802.50 = 209,078.28/x
  3. Step 3: Cross multiply
    378,844.14x = 522,802.50 × 209,078.28
  4. Step 4: Simplify right side
    378,844.14x = 109,306,647,479.70
  5. Step 5: Solve for x
    x = 109,306,647,479.70/378,844.14
  6. Step 6: Final answer
    x = 288,526.69

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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.