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Finding the Fourth Proportional to 378,968.76, 522,976.98 and 209,203

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Solution

The fourth proportional to 378,968.76, 522,976.98 and 209,203 is: 288,700.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,968.76 : 522,976.98 = 209,203 : x
  2. Step 2: Convert to fraction form
    378,968.76/522,976.98 = 209,203/x
  3. Step 3: Cross multiply
    378,968.76x = 522,976.98 × 209,203
  4. Step 4: Simplify right side
    378,968.76x = 109,408,353,146.94
  5. Step 5: Solve for x
    x = 109,408,353,146.94/378,968.76
  6. Step 6: Final answer
    x = 288,700.19

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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.