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Finding the Fourth Proportional to 280,241.64, 420,388.56 and 111,721.14

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Solution

The fourth proportional to 280,241.64, 420,388.56 and 111,721.14 is: 167,592.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,241.64 : 420,388.56 = 111,721.14 : x
  2. Step 2: Convert to fraction form
    280,241.64/420,388.56 = 111,721.14/x
  3. Step 3: Cross multiply
    280,241.64x = 420,388.56 × 111,721.14
  4. Step 4: Simplify right side
    280,241.64x = 46,966,289,166.16
  5. Step 5: Solve for x
    x = 46,966,289,166.16/280,241.64
  6. Step 6: Final answer
    x = 167,592.12

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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.