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Finding the Fourth Proportional to 309,281.82, 463,905.63 and 84,626.14

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Solution

The fourth proportional to 309,281.82, 463,905.63 and 84,626.14 is: 126,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,281.82 : 463,905.63 = 84,626.14 : x
  2. Step 2: Convert to fraction form
    309,281.82/463,905.63 = 84,626.14/x
  3. Step 3: Cross multiply
    309,281.82x = 463,905.63 × 84,626.14
  4. Step 4: Simplify right side
    309,281.82x = 39,258,540,736.43
  5. Step 5: Solve for x
    x = 39,258,540,736.43/309,281.82
  6. Step 6: Final answer
    x = 126,934.52

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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.