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Finding the Fourth Proportional to 451,282.16, 676,918 and 109,727.56

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Solution

The fourth proportional to 451,282.16, 676,918 and 109,727.56 is: 164,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,282.16 : 676,918 = 109,727.56 : x
  2. Step 2: Convert to fraction form
    451,282.16/676,918 = 109,727.56/x
  3. Step 3: Cross multiply
    451,282.16x = 676,918 × 109,727.56
  4. Step 4: Simplify right side
    451,282.16x = 74,276,560,460.08
  5. Step 5: Solve for x
    x = 74,276,560,460.08/451,282.16
  6. Step 6: Final answer
    x = 164,590.07

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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.