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Finding the Fourth Proportional to 509,262.76, 763,976.78 and 172,324.12

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Solution

The fourth proportional to 509,262.76, 763,976.78 and 172,324.12 is: 258,514.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,262.76 : 763,976.78 = 172,324.12 : x
  2. Step 2: Convert to fraction form
    509,262.76/763,976.78 = 172,324.12/x
  3. Step 3: Cross multiply
    509,262.76x = 763,976.78 × 172,324.12
  4. Step 4: Simplify right side
    509,262.76x = 131,651,626,313.93
  5. Step 5: Solve for x
    x = 131,651,626,313.93/509,262.76
  6. Step 6: Final answer
    x = 258,514.14

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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.