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Finding the Fourth Proportional to 492,647.82, 679,796.24 and 277,775.07

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Solution

The fourth proportional to 492,647.82, 679,796.24 and 277,775.07 is: 383,297.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,647.82 : 679,796.24 = 277,775.07 : x
  2. Step 2: Convert to fraction form
    492,647.82/679,796.24 = 277,775.07/x
  3. Step 3: Cross multiply
    492,647.82x = 679,796.24 × 277,775.07
  4. Step 4: Simplify right side
    492,647.82x = 188,830,446,762.86
  5. Step 5: Solve for x
    x = 188,830,446,762.86/492,647.82
  6. Step 6: Final answer
    x = 383,297.03

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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.