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Finding the Fourth Proportional to 449,420.68, 674,276.82 and 133,880.32

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Solution

The fourth proportional to 449,420.68, 674,276.82 and 133,880.32 is: 200,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,420.68 : 674,276.82 = 133,880.32 : x
  2. Step 2: Convert to fraction form
    449,420.68/674,276.82 = 133,880.32/x
  3. Step 3: Cross multiply
    449,420.68x = 674,276.82 × 133,880.32
  4. Step 4: Simplify right side
    449,420.68x = 90,272,396,430.18
  5. Step 5: Solve for x
    x = 90,272,396,430.18/449,420.68
  6. Step 6: Final answer
    x = 200,863.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.