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Finding the Fourth Proportional to 301,079.88, 451,620.02 and 76,457.16

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Solution

The fourth proportional to 301,079.88, 451,620.02 and 76,457.16 is: 114,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,079.88 : 451,620.02 = 76,457.16 : x
  2. Step 2: Convert to fraction form
    301,079.88/451,620.02 = 76,457.16/x
  3. Step 3: Cross multiply
    301,079.88x = 451,620.02 × 76,457.16
  4. Step 4: Simplify right side
    301,079.88x = 34,529,584,319.49
  5. Step 5: Solve for x
    x = 34,529,584,319.49/301,079.88
  6. Step 6: Final answer
    x = 114,685.79

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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.