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Finding the Fourth Proportional to 505,076.90, 697,010.18 and 275,635.98

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Solution

The fourth proportional to 505,076.90, 697,010.18 and 275,635.98 is: 380,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,076.90 : 697,010.18 = 275,635.98 : x
  2. Step 2: Convert to fraction form
    505,076.90/697,010.18 = 275,635.98/x
  3. Step 3: Cross multiply
    505,076.90x = 697,010.18 × 275,635.98
  4. Step 4: Simplify right side
    505,076.90x = 192,121,082,656.10
  5. Step 5: Solve for x
    x = 192,121,082,656.10/505,076.90
  6. Step 6: Final answer
    x = 380,379.87

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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.