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Finding the Fourth Proportional to 505,764, 697,960.80 and 279,430.56

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Solution

The fourth proportional to 505,764, 697,960.80 and 279,430.56 is: 385,617.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,764 : 697,960.80 = 279,430.56 : x
  2. Step 2: Convert to fraction form
    505,764/697,960.80 = 279,430.56/x
  3. Step 3: Cross multiply
    505,764x = 697,960.80 × 279,430.56
  4. Step 4: Simplify right side
    505,764x = 195,031,577,202.05
  5. Step 5: Solve for x
    x = 195,031,577,202.05/505,764
  6. Step 6: Final answer
    x = 385,617.75

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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.