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Finding the Fourth Proportional to 280,636.08, 420,281.64 and 204,530.64

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Solution

The fourth proportional to 280,636.08, 420,281.64 and 204,530.64 is: 306,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,636.08 : 420,281.64 = 204,530.64 : x
  2. Step 2: Convert to fraction form
    280,636.08/420,281.64 = 204,530.64/x
  3. Step 3: Cross multiply
    280,636.08x = 420,281.64 × 204,530.64
  4. Step 4: Simplify right side
    280,636.08x = 85,960,472,809.45
  5. Step 5: Solve for x
    x = 85,960,472,809.45/280,636.08
  6. Step 6: Final answer
    x = 306,305.85

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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.