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Finding the Fourth Proportional to 281,464.40, 421,607.80 and 131,832.40

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Solution

The fourth proportional to 281,464.40, 421,607.80 and 131,832.40 is: 197,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,464.40 : 421,607.80 = 131,832.40 : x
  2. Step 2: Convert to fraction form
    281,464.40/421,607.80 = 131,832.40/x
  3. Step 3: Cross multiply
    281,464.40x = 421,607.80 × 131,832.40
  4. Step 4: Simplify right side
    281,464.40x = 55,581,568,132.72
  5. Step 5: Solve for x
    x = 55,581,568,132.72/281,464.40
  6. Step 6: Final answer
    x = 197,472.82

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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.