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Finding the Fourth Proportional to 281,650.32, 388,713.65 and 160,763.94

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Solution

The fourth proportional to 281,650.32, 388,713.65 and 160,763.94 is: 221,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,650.32 : 388,713.65 = 160,763.94 : x
  2. Step 2: Convert to fraction form
    281,650.32/388,713.65 = 160,763.94/x
  3. Step 3: Cross multiply
    281,650.32x = 388,713.65 × 160,763.94
  4. Step 4: Simplify right side
    281,650.32x = 62,491,137,101.96
  5. Step 5: Solve for x
    x = 62,491,137,101.96/281,650.32
  6. Step 6: Final answer
    x = 221,874.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.