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Finding the Fourth Proportional to 228,474.62, 315,329.80 and 142,447.56

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Solution

The fourth proportional to 228,474.62, 315,329.80 and 142,447.56 is: 196,599.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,474.62 : 315,329.80 = 142,447.56 : x
  2. Step 2: Convert to fraction form
    228,474.62/315,329.80 = 142,447.56/x
  3. Step 3: Cross multiply
    228,474.62x = 315,329.80 × 142,447.56
  4. Step 4: Simplify right side
    228,474.62x = 44,917,960,605.29
  5. Step 5: Solve for x
    x = 44,917,960,605.29/228,474.62
  6. Step 6: Final answer
    x = 196,599.34

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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.