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Finding the Fourth Proportional to 323,031.58, 484,509.21 and 86,392.60

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Solution

The fourth proportional to 323,031.58, 484,509.21 and 86,392.60 is: 129,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,031.58 : 484,509.21 = 86,392.60 : x
  2. Step 2: Convert to fraction form
    323,031.58/484,509.21 = 86,392.60/x
  3. Step 3: Cross multiply
    323,031.58x = 484,509.21 × 86,392.60
  4. Step 4: Simplify right side
    323,031.58x = 41,858,010,375.85
  5. Step 5: Solve for x
    x = 41,858,010,375.85/323,031.58
  6. Step 6: Final answer
    x = 129,578.69

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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.