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Finding the Fourth Proportional to 228,408, 342,747 and 127,290.48

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Solution

The fourth proportional to 228,408, 342,747 and 127,290.48 is: 191,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,408 : 342,747 = 127,290.48 : x
  2. Step 2: Convert to fraction form
    228,408/342,747 = 127,290.48/x
  3. Step 3: Cross multiply
    228,408x = 342,747 × 127,290.48
  4. Step 4: Simplify right side
    228,408x = 43,628,430,148.56
  5. Step 5: Solve for x
    x = 43,628,430,148.56/228,408
  6. Step 6: Final answer
    x = 191,010.95

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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.