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Finding the Fourth Proportional to 285,641.34, 427,859.21 and 229,175.73

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Solution

The fourth proportional to 285,641.34, 427,859.21 and 229,175.73 is: 343,279.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,641.34 : 427,859.21 = 229,175.73 : x
  2. Step 2: Convert to fraction form
    285,641.34/427,859.21 = 229,175.73/x
  3. Step 3: Cross multiply
    285,641.34x = 427,859.21 × 229,175.73
  4. Step 4: Simplify right side
    285,641.34x = 98,054,947,361.91
  5. Step 5: Solve for x
    x = 98,054,947,361.91/285,641.34
  6. Step 6: Final answer
    x = 343,279.96

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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.