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Finding the Fourth Proportional to 404,392.30, 557,662.73 and 313,715.23

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Solution

The fourth proportional to 404,392.30, 557,662.73 and 313,715.23 is: 432,617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,392.30 : 557,662.73 = 313,715.23 : x
  2. Step 2: Convert to fraction form
    404,392.30/557,662.73 = 313,715.23/x
  3. Step 3: Cross multiply
    404,392.30x = 557,662.73 × 313,715.23
  4. Step 4: Simplify right side
    404,392.30x = 174,947,288,641.65
  5. Step 5: Solve for x
    x = 174,947,288,641.65/404,392.30
  6. Step 6: Final answer
    x = 432,617.76

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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.