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Finding the Fourth Proportional to 281,689.28, 422,525.28 and 115,352

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Solution

The fourth proportional to 281,689.28, 422,525.28 and 115,352 is: 173,024.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,689.28 : 422,525.28 = 115,352 : x
  2. Step 2: Convert to fraction form
    281,689.28/422,525.28 = 115,352/x
  3. Step 3: Cross multiply
    281,689.28x = 422,525.28 × 115,352
  4. Step 4: Simplify right side
    281,689.28x = 48,739,136,098.56
  5. Step 5: Solve for x
    x = 48,739,136,098.56/281,689.28
  6. Step 6: Final answer
    x = 173,024.46

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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.