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Finding the Fourth Proportional to 509,214, 763,821 and 176,790

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Solution

The fourth proportional to 509,214, 763,821 and 176,790 is: 265,185

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,214 : 763,821 = 176,790 : x
  2. Step 2: Convert to fraction form
    509,214/763,821 = 176,790/x
  3. Step 3: Cross multiply
    509,214x = 763,821 × 176,790
  4. Step 4: Simplify right side
    509,214x = 135,035,914,590
  5. Step 5: Solve for x
    x = 135,035,914,590/509,214
  6. Step 6: Final answer
    x = 265,185

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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.