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Finding the Fourth Proportional to 272,403.40, 408,086.70 and 161,465.80

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Solution

The fourth proportional to 272,403.40, 408,086.70 and 161,465.80 is: 241,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,403.40 : 408,086.70 = 161,465.80 : x
  2. Step 2: Convert to fraction form
    272,403.40/408,086.70 = 161,465.80/x
  3. Step 3: Cross multiply
    272,403.40x = 408,086.70 × 161,465.80
  4. Step 4: Simplify right side
    272,403.40x = 65,892,045,484.86
  5. Step 5: Solve for x
    x = 65,892,045,484.86/272,403.40
  6. Step 6: Final answer
    x = 241,891.42

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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.