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Finding the Fourth Proportional to 280,511.76, 420,789.64 and 93,523.26

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Solution

The fourth proportional to 280,511.76, 420,789.64 and 93,523.26 is: 140,292.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,511.76 : 420,789.64 = 93,523.26 : x
  2. Step 2: Convert to fraction form
    280,511.76/420,789.64 = 93,523.26/x
  3. Step 3: Cross multiply
    280,511.76x = 420,789.64 × 93,523.26
  4. Step 4: Simplify right side
    280,511.76x = 39,353,618,907.03
  5. Step 5: Solve for x
    x = 39,353,618,907.03/280,511.76
  6. Step 6: Final answer
    x = 140,292.22

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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.