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Finding the Fourth Proportional to 281,446.98, 422,172.63 and 81,780.90

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Solution

The fourth proportional to 281,446.98, 422,172.63 and 81,780.90 is: 122,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,446.98 : 422,172.63 = 81,780.90 : x
  2. Step 2: Convert to fraction form
    281,446.98/422,172.63 = 81,780.90/x
  3. Step 3: Cross multiply
    281,446.98x = 422,172.63 × 81,780.90
  4. Step 4: Simplify right side
    281,446.98x = 34,525,657,636.77
  5. Step 5: Solve for x
    x = 34,525,657,636.77/281,446.98
  6. Step 6: Final answer
    x = 122,671.98

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1.5x scale

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.