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Finding the Fourth Proportional to 280,466.43, 420,883.92 and 102,975.18

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Solution

The fourth proportional to 280,466.43, 420,883.92 and 102,975.18 is: 154,530.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,466.43 : 420,883.92 = 102,975.18 : x
  2. Step 2: Convert to fraction form
    280,466.43/420,883.92 = 102,975.18/x
  3. Step 3: Cross multiply
    280,466.43x = 420,883.92 × 102,975.18
  4. Step 4: Simplify right side
    280,466.43x = 43,340,597,421.11
  5. Step 5: Solve for x
    x = 43,340,597,421.11/280,466.43
  6. Step 6: Final answer
    x = 154,530.43

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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.