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Finding the Fourth Proportional to 509,162.82, 763,451.54 and 209,850

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Solution

The fourth proportional to 509,162.82, 763,451.54 and 209,850 is: 314,654.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,162.82 : 763,451.54 = 209,850 : x
  2. Step 2: Convert to fraction form
    509,162.82/763,451.54 = 209,850/x
  3. Step 3: Cross multiply
    509,162.82x = 763,451.54 × 209,850
  4. Step 4: Simplify right side
    509,162.82x = 160,210,305,669
  5. Step 5: Solve for x
    x = 160,210,305,669/509,162.82
  6. Step 6: Final answer
    x = 314,654.37

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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.