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Finding the Fourth Proportional to 281,959.86, 422,980 and 92,379.70

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Solution

The fourth proportional to 281,959.86, 422,980 and 92,379.70 is: 138,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,959.86 : 422,980 = 92,379.70 : x
  2. Step 2: Convert to fraction form
    281,959.86/422,980 = 92,379.70/x
  3. Step 3: Cross multiply
    281,959.86x = 422,980 × 92,379.70
  4. Step 4: Simplify right side
    281,959.86x = 39,074,765,506
  5. Step 5: Solve for x
    x = 39,074,765,506/281,959.86
  6. Step 6: Final answer
    x = 138,582.72

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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.