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Finding the Fourth Proportional to 272,334.40, 408,064.20 and 178,730.80

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Solution

The fourth proportional to 272,334.40, 408,064.20 and 178,730.80 is: 267,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,334.40 : 408,064.20 = 178,730.80 : x
  2. Step 2: Convert to fraction form
    272,334.40/408,064.20 = 178,730.80/x
  3. Step 3: Cross multiply
    272,334.40x = 408,064.20 × 178,730.80
  4. Step 4: Simplify right side
    272,334.40x = 72,933,640,917.36
  5. Step 5: Solve for x
    x = 72,933,640,917.36/272,334.40
  6. Step 6: Final answer
    x = 267,809.14

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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.