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Finding the Fourth Proportional to 493,323.30, 680,713.20 and 289,297.26

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Solution

The fourth proportional to 493,323.30, 680,713.20 and 289,297.26 is: 399,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,323.30 : 680,713.20 = 289,297.26 : x
  2. Step 2: Convert to fraction form
    493,323.30/680,713.20 = 289,297.26/x
  3. Step 3: Cross multiply
    493,323.30x = 680,713.20 × 289,297.26
  4. Step 4: Simplify right side
    493,323.30x = 196,928,463,605.83
  5. Step 5: Solve for x
    x = 196,928,463,605.83/493,323.30
  6. Step 6: Final answer
    x = 399,187.44

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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.