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Finding the Fourth Proportional to 281,672.68, 420,325.15 and 251,761

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Solution

The fourth proportional to 281,672.68, 420,325.15 and 251,761 is: 375,689.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,672.68 : 420,325.15 = 251,761 : x
  2. Step 2: Convert to fraction form
    281,672.68/420,325.15 = 251,761/x
  3. Step 3: Cross multiply
    281,672.68x = 420,325.15 × 251,761
  4. Step 4: Simplify right side
    281,672.68x = 105,821,480,089.15
  5. Step 5: Solve for x
    x = 105,821,480,089.15/281,672.68
  6. Step 6: Final answer
    x = 375,689.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.