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Finding the Fourth Proportional to 281,798, 422,695.98 and 68,563.45

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Solution

The fourth proportional to 281,798, 422,695.98 and 68,563.45 is: 102,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,798 : 422,695.98 = 68,563.45 : x
  2. Step 2: Convert to fraction form
    281,798/422,695.98 = 68,563.45/x
  3. Step 3: Cross multiply
    281,798x = 422,695.98 × 68,563.45
  4. Step 4: Simplify right side
    281,798x = 28,981,494,689.93
  5. Step 5: Solve for x
    x = 28,981,494,689.93/281,798
  6. Step 6: Final answer
    x = 102,844.93

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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.