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Finding the Fourth Proportional to 280,466.94, 420,884.68 and 102,975.68

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Solution

The fourth proportional to 280,466.94, 420,884.68 and 102,975.68 is: 154,531.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,466.94 : 420,884.68 = 102,975.68 : x
  2. Step 2: Convert to fraction form
    280,466.94/420,884.68 = 102,975.68/x
  3. Step 3: Cross multiply
    280,466.94x = 420,884.68 × 102,975.68
  4. Step 4: Simplify right side
    280,466.94x = 43,340,886,124.58
  5. Step 5: Solve for x
    x = 43,340,886,124.58/280,466.94
  6. Step 6: Final answer
    x = 154,531.18

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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.