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Finding the Fourth Proportional to 408,238.23, 562,537.89 and 315,795.90

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Solution

The fourth proportional to 408,238.23, 562,537.89 and 315,795.90 is: 435,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,238.23 : 562,537.89 = 315,795.90 : x
  2. Step 2: Convert to fraction form
    408,238.23/562,537.89 = 315,795.90/x
  3. Step 3: Cross multiply
    408,238.23x = 562,537.89 × 315,795.90
  4. Step 4: Simplify right side
    408,238.23x = 177,647,159,256.65
  5. Step 5: Solve for x
    x = 177,647,159,256.65/408,238.23
  6. Step 6: Final answer
    x = 435,155.62

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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.