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Finding the Fourth Proportional to 655,729.98, 983,400.57 and 281,665.50

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Solution

The fourth proportional to 655,729.98, 983,400.57 and 281,665.50 is: 422,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,729.98 : 983,400.57 = 281,665.50 : x
  2. Step 2: Convert to fraction form
    655,729.98/983,400.57 = 281,665.50/x
  3. Step 3: Cross multiply
    655,729.98x = 983,400.57 × 281,665.50
  4. Step 4: Simplify right side
    655,729.98x = 276,990,013,249.34
  5. Step 5: Solve for x
    x = 276,990,013,249.34/655,729.98
  6. Step 6: Final answer
    x = 422,414.75

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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.