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Finding the Fourth Proportional to 509,398.27, 702,940.96 and 305,347.07

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Solution

The fourth proportional to 509,398.27, 702,940.96 and 305,347.07 is: 421,361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,398.27 : 702,940.96 = 305,347.07 : x
  2. Step 2: Convert to fraction form
    509,398.27/702,940.96 = 305,347.07/x
  3. Step 3: Cross multiply
    509,398.27x = 702,940.96 × 305,347.07
  4. Step 4: Simplify right side
    509,398.27x = 214,640,960,992.25
  5. Step 5: Solve for x
    x = 214,640,960,992.25/509,398.27
  6. Step 6: Final answer
    x = 421,361.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.