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Finding the Fourth Proportional to 492,713.78, 679,954.90 and 277,812.26

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Solution

The fourth proportional to 492,713.78, 679,954.90 and 277,812.26 is: 383,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,713.78 : 679,954.90 = 277,812.26 : x
  2. Step 2: Convert to fraction form
    492,713.78/679,954.90 = 277,812.26/x
  3. Step 3: Cross multiply
    492,713.78x = 679,954.90 × 277,812.26
  4. Step 4: Simplify right side
    492,713.78x = 188,899,807,467.07
  5. Step 5: Solve for x
    x = 188,899,807,467.07/492,713.78
  6. Step 6: Final answer
    x = 383,386.49

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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.