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Finding the Fourth Proportional to 272,328.40, 408,055.20 and 178,724.80

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Solution

The fourth proportional to 272,328.40, 408,055.20 and 178,724.80 is: 267,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,328.40 : 408,055.20 = 178,724.80 : x
  2. Step 2: Convert to fraction form
    272,328.40/408,055.20 = 178,724.80/x
  3. Step 3: Cross multiply
    272,328.40x = 408,055.20 × 178,724.80
  4. Step 4: Simplify right side
    272,328.40x = 72,929,584,008.96
  5. Step 5: Solve for x
    x = 72,929,584,008.96/272,328.40
  6. Step 6: Final answer
    x = 267,800.14

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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.