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Finding the Fourth Proportional to 509,762.25, 763,593.48 and 298,891.71

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Solution

The fourth proportional to 509,762.25, 763,593.48 and 298,891.71 is: 447,721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,762.25 : 763,593.48 = 298,891.71 : x
  2. Step 2: Convert to fraction form
    509,762.25/763,593.48 = 298,891.71/x
  3. Step 3: Cross multiply
    509,762.25x = 763,593.48 × 298,891.71
  4. Step 4: Simplify right side
    509,762.25x = 228,231,760,982.05
  5. Step 5: Solve for x
    x = 228,231,760,982.05/509,762.25
  6. Step 6: Final answer
    x = 447,721.97

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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.