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Finding the Fourth Proportional to 378,903.90, 522,891.72 and 209,138.16

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Solution

The fourth proportional to 378,903.90, 522,891.72 and 209,138.16 is: 288,613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,903.90 : 522,891.72 = 209,138.16 : x
  2. Step 2: Convert to fraction form
    378,903.90/522,891.72 = 209,138.16/x
  3. Step 3: Cross multiply
    378,903.90x = 522,891.72 × 209,138.16
  4. Step 4: Simplify right side
    378,903.90x = 109,356,612,200.04
  5. Step 5: Solve for x
    x = 109,356,612,200.04/378,903.90
  6. Step 6: Final answer
    x = 288,613.06

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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.