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Finding the Fourth Proportional to 299,142.40, 449,005.20 and 149,551.60

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Solution

The fourth proportional to 299,142.40, 449,005.20 and 149,551.60 is: 224,473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,142.40 : 449,005.20 = 149,551.60 : x
  2. Step 2: Convert to fraction form
    299,142.40/449,005.20 = 149,551.60/x
  3. Step 3: Cross multiply
    299,142.40x = 449,005.20 × 149,551.60
  4. Step 4: Simplify right side
    299,142.40x = 67,149,446,068.32
  5. Step 5: Solve for x
    x = 67,149,446,068.32/299,142.40
  6. Step 6: Final answer
    x = 224,473.18

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1.5x scale

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.