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Finding the Fourth Proportional to 281,989.80, 422,886.32 and 113,466.46

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Solution

The fourth proportional to 281,989.80, 422,886.32 and 113,466.46 is: 170,160.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,989.80 : 422,886.32 = 113,466.46 : x
  2. Step 2: Convert to fraction form
    281,989.80/422,886.32 = 113,466.46/x
  3. Step 3: Cross multiply
    281,989.80x = 422,886.32 × 113,466.46
  4. Step 4: Simplify right side
    281,989.80x = 47,983,413,712.83
  5. Step 5: Solve for x
    x = 47,983,413,712.83/281,989.80
  6. Step 6: Final answer
    x = 170,160.10

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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.