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Finding the Fourth Proportional to 505,558.56, 697,805.28 and 314,463.36

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Solution

The fourth proportional to 505,558.56, 697,805.28 and 314,463.36 is: 434,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,558.56 : 697,805.28 = 314,463.36 : x
  2. Step 2: Convert to fraction form
    505,558.56/697,805.28 = 314,463.36/x
  3. Step 3: Cross multiply
    505,558.56x = 697,805.28 × 314,463.36
  4. Step 4: Simplify right side
    505,558.56x = 219,434,192,974.54
  5. Step 5: Solve for x
    x = 219,434,192,974.54/505,558.56
  6. Step 6: Final answer
    x = 434,043.08

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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.