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Finding the Fourth Proportional to 378,962.76, 522,968.70 and 209,197

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Solution

The fourth proportional to 378,962.76, 522,968.70 and 209,197 is: 288,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,962.76 : 522,968.70 = 209,197 : x
  2. Step 2: Convert to fraction form
    378,962.76/522,968.70 = 209,197/x
  3. Step 3: Cross multiply
    378,962.76x = 522,968.70 × 209,197
  4. Step 4: Simplify right side
    378,962.76x = 109,403,483,133.90
  5. Step 5: Solve for x
    x = 109,403,483,133.90/378,962.76
  6. Step 6: Final answer
    x = 288,691.91

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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.