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Finding the Fourth Proportional to 361,881.40, 542,822.10 and 228,911.80

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Solution

The fourth proportional to 361,881.40, 542,822.10 and 228,911.80 is: 343,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,881.40 : 542,822.10 = 228,911.80 : x
  2. Step 2: Convert to fraction form
    361,881.40/542,822.10 = 228,911.80/x
  3. Step 3: Cross multiply
    361,881.40x = 542,822.10 × 228,911.80
  4. Step 4: Simplify right side
    361,881.40x = 124,258,383,990.78
  5. Step 5: Solve for x
    x = 124,258,383,990.78/361,881.40
  6. Step 6: Final answer
    x = 343,367.70

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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.