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Finding the Fourth Proportional to 228,589.92, 315,608.24 and 142,679.78

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Solution

The fourth proportional to 228,589.92, 315,608.24 and 142,679.78 is: 196,994.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,589.92 : 315,608.24 = 142,679.78 : x
  2. Step 2: Convert to fraction form
    228,589.92/315,608.24 = 142,679.78/x
  3. Step 3: Cross multiply
    228,589.92x = 315,608.24 × 142,679.78
  4. Step 4: Simplify right side
    228,589.92x = 45,030,911,957.95
  5. Step 5: Solve for x
    x = 45,030,911,957.95/228,589.92
  6. Step 6: Final answer
    x = 196,994.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.