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Finding the Fourth Proportional to 361,876.40, 542,814.60 and 228,906.80

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Solution

The fourth proportional to 361,876.40, 542,814.60 and 228,906.80 is: 343,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,876.40 : 542,814.60 = 228,906.80 : x
  2. Step 2: Convert to fraction form
    361,876.40/542,814.60 = 228,906.80/x
  3. Step 3: Cross multiply
    361,876.40x = 542,814.60 × 228,906.80
  4. Step 4: Simplify right side
    361,876.40x = 124,253,953,079.28
  5. Step 5: Solve for x
    x = 124,253,953,079.28/361,876.40
  6. Step 6: Final answer
    x = 343,360.20

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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.