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Finding the Fourth Proportional to 301,786.20, 452,679.21 and 77,147.10

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Solution

The fourth proportional to 301,786.20, 452,679.21 and 77,147.10 is: 115,720.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,786.20 : 452,679.21 = 77,147.10 : x
  2. Step 2: Convert to fraction form
    301,786.20/452,679.21 = 77,147.10/x
  3. Step 3: Cross multiply
    301,786.20x = 452,679.21 × 77,147.10
  4. Step 4: Simplify right side
    301,786.20x = 34,922,888,281.79
  5. Step 5: Solve for x
    x = 34,922,888,281.79/301,786.20
  6. Step 6: Final answer
    x = 115,720.63

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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.