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Finding the Fourth Proportional to 301,178.88, 451,760.64 and 79,564.80

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Solution

The fourth proportional to 301,178.88, 451,760.64 and 79,564.80 is: 119,345.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,178.88 : 451,760.64 = 79,564.80 : x
  2. Step 2: Convert to fraction form
    301,178.88/451,760.64 = 79,564.80/x
  3. Step 3: Cross multiply
    301,178.88x = 451,760.64 × 79,564.80
  4. Step 4: Simplify right side
    301,178.88x = 35,944,244,969.47
  5. Step 5: Solve for x
    x = 35,944,244,969.47/301,178.88
  6. Step 6: Final answer
    x = 119,345.17

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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.