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Finding the Fourth Proportional to 492,066.78, 678,911.67 and 277,131.66

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Solution

The fourth proportional to 492,066.78, 678,911.67 and 277,131.66 is: 382,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,066.78 : 678,911.67 = 277,131.66 : x
  2. Step 2: Convert to fraction form
    492,066.78/678,911.67 = 277,131.66/x
  3. Step 3: Cross multiply
    492,066.78x = 678,911.67 × 277,131.66
  4. Step 4: Simplify right side
    492,066.78x = 188,147,918,100.47
  5. Step 5: Solve for x
    x = 188,147,918,100.47/492,066.78
  6. Step 6: Final answer
    x = 382,362.57

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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.