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Finding the Fourth Proportional to 408,396.48, 563,504.55 and 238,597.80

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Solution

The fourth proportional to 408,396.48, 563,504.55 and 238,597.80 is: 329,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,396.48 : 563,504.55 = 238,597.80 : x
  2. Step 2: Convert to fraction form
    408,396.48/563,504.55 = 238,597.80/x
  3. Step 3: Cross multiply
    408,396.48x = 563,504.55 × 238,597.80
  4. Step 4: Simplify right side
    408,396.48x = 134,450,943,102.47
  5. Step 5: Solve for x
    x = 134,450,943,102.47/408,396.48
  6. Step 6: Final answer
    x = 329,216.71

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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.