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Finding the Fourth Proportional to 449,378.24, 620,142.24 and 245,432

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Solution

The fourth proportional to 449,378.24, 620,142.24 and 245,432 is: 338,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,378.24 : 620,142.24 = 245,432 : x
  2. Step 2: Convert to fraction form
    449,378.24/620,142.24 = 245,432/x
  3. Step 3: Cross multiply
    449,378.24x = 620,142.24 × 245,432
  4. Step 4: Simplify right side
    449,378.24x = 152,202,750,247.68
  5. Step 5: Solve for x
    x = 152,202,750,247.68/449,378.24
  6. Step 6: Final answer
    x = 338,696.31

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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.