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Finding the Fourth Proportional to 323,120.24, 484,645.98 and 86,486.84

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Solution

The fourth proportional to 323,120.24, 484,645.98 and 86,486.84 is: 129,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,120.24 : 484,645.98 = 86,486.84 : x
  2. Step 2: Convert to fraction form
    323,120.24/484,645.98 = 86,486.84/x
  3. Step 3: Cross multiply
    323,120.24x = 484,645.98 × 86,486.84
  4. Step 4: Simplify right side
    323,120.24x = 41,915,499,328.90
  5. Step 5: Solve for x
    x = 41,915,499,328.90/323,120.24
  6. Step 6: Final answer
    x = 129,721.06

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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.