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Finding the Fourth Proportional to 301,287.96, 451,934.59 and 76,648.63

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Solution

The fourth proportional to 301,287.96, 451,934.59 and 76,648.63 is: 114,973.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,287.96 : 451,934.59 = 76,648.63 : x
  2. Step 2: Convert to fraction form
    301,287.96/451,934.59 = 76,648.63/x
  3. Step 3: Cross multiply
    301,287.96x = 451,934.59 × 76,648.63
  4. Step 4: Simplify right side
    301,287.96x = 34,640,167,173.11
  5. Step 5: Solve for x
    x = 34,640,167,173.11/301,287.96
  6. Step 6: Final answer
    x = 114,973.62

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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.