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Finding the Fourth Proportional to 509,208, 763,812 and 176,784

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Solution

The fourth proportional to 509,208, 763,812 and 176,784 is: 265,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,208 : 763,812 = 176,784 : x
  2. Step 2: Convert to fraction form
    509,208/763,812 = 176,784/x
  3. Step 3: Cross multiply
    509,208x = 763,812 × 176,784
  4. Step 4: Simplify right side
    509,208x = 135,029,740,608
  5. Step 5: Solve for x
    x = 135,029,740,608/509,208
  6. Step 6: Final answer
    x = 265,176

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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.