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Finding the Fourth Proportional to 301,457.78, 451,842.70 and 121,427.93

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Solution

The fourth proportional to 301,457.78, 451,842.70 and 121,427.93 is: 182,003.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,457.78 : 451,842.70 = 121,427.93 : x
  2. Step 2: Convert to fraction form
    301,457.78/451,842.70 = 121,427.93/x
  3. Step 3: Cross multiply
    301,457.78x = 451,842.70 × 121,427.93
  4. Step 4: Simplify right side
    301,457.78x = 54,866,321,917.19
  5. Step 5: Solve for x
    x = 54,866,321,917.19/301,457.78
  6. Step 6: Final answer
    x = 182,003.33

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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.