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Finding the Fourth Proportional to 301,786.42, 452,677.86 and 77,146.54

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Solution

The fourth proportional to 301,786.42, 452,677.86 and 77,146.54 is: 115,719.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,786.42 : 452,677.86 = 77,146.54 : x
  2. Step 2: Convert to fraction form
    301,786.42/452,677.86 = 77,146.54/x
  3. Step 3: Cross multiply
    301,786.42x = 452,677.86 × 77,146.54
  4. Step 4: Simplify right side
    301,786.42x = 34,922,530,633.60
  5. Step 5: Solve for x
    x = 34,922,530,633.60/301,786.42
  6. Step 6: Final answer
    x = 115,719.36

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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.