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Finding the Fourth Proportional to 281,519.92, 422,701.18 and 243,686.48

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Solution

The fourth proportional to 281,519.92, 422,701.18 and 243,686.48 is: 365,894.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,519.92 : 422,701.18 = 243,686.48 : x
  2. Step 2: Convert to fraction form
    281,519.92/422,701.18 = 243,686.48/x
  3. Step 3: Cross multiply
    281,519.92x = 422,701.18 × 243,686.48
  4. Step 4: Simplify right side
    281,519.92x = 103,006,563,093.58
  5. Step 5: Solve for x
    x = 103,006,563,093.58/281,519.92
  6. Step 6: Final answer
    x = 365,894.41

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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.