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Finding the Fourth Proportional to 301,298.58, 451,945.80 and 76,656.96

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Solution

The fourth proportional to 301,298.58, 451,945.80 and 76,656.96 is: 114,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,298.58 : 451,945.80 = 76,656.96 : x
  2. Step 2: Convert to fraction form
    301,298.58/451,945.80 = 76,656.96/x
  3. Step 3: Cross multiply
    301,298.58x = 451,945.80 × 76,656.96
  4. Step 4: Simplify right side
    301,298.58x = 34,644,791,112.77
  5. Step 5: Solve for x
    x = 34,644,791,112.77/301,298.58
  6. Step 6: Final answer
    x = 114,984.91

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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.