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Finding the Fourth Proportional to 806,550, 1,209,825 and 281,238

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Solution

The fourth proportional to 806,550, 1,209,825 and 281,238 is: 421,857

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,550 : 1,209,825 = 281,238 : x
  2. Step 2: Convert to fraction form
    806,550/1,209,825 = 281,238/x
  3. Step 3: Cross multiply
    806,550x = 1,209,825 × 281,238
  4. Step 4: Simplify right side
    806,550x = 340,248,763,350
  5. Step 5: Solve for x
    x = 340,248,763,350/806,550
  6. Step 6: Final answer
    x = 421,857

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.