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Finding the Fourth Proportional to 299,140.40, 449,002.20 and 149,549.60

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Solution

The fourth proportional to 299,140.40, 449,002.20 and 149,549.60 is: 224,470.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,140.40 : 449,002.20 = 149,549.60 : x
  2. Step 2: Convert to fraction form
    299,140.40/449,002.20 = 149,549.60/x
  3. Step 3: Cross multiply
    299,140.40x = 449,002.20 × 149,549.60
  4. Step 4: Simplify right side
    299,140.40x = 67,148,099,409.12
  5. Step 5: Solve for x
    x = 67,148,099,409.12/299,140.40
  6. Step 6: Final answer
    x = 224,470.18

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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.