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Finding the Fourth Proportional to 505,548.81, 697,791.83 and 314,453.61

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Solution

The fourth proportional to 505,548.81, 697,791.83 and 314,453.61 is: 434,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,548.81 : 697,791.83 = 314,453.61 : x
  2. Step 2: Convert to fraction form
    505,548.81/697,791.83 = 314,453.61/x
  3. Step 3: Cross multiply
    505,548.81x = 697,791.83 × 314,453.61
  4. Step 4: Simplify right side
    505,548.81x = 219,423,158,399.74
  5. Step 5: Solve for x
    x = 219,423,158,399.74/505,548.81
  6. Step 6: Final answer
    x = 434,029.62

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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.