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Finding the Fourth Proportional to 323,427.20, 485,140.80 and 289,212.80

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Solution

The fourth proportional to 323,427.20, 485,140.80 and 289,212.80 is: 433,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,427.20 : 485,140.80 = 289,212.80 : x
  2. Step 2: Convert to fraction form
    323,427.20/485,140.80 = 289,212.80/x
  3. Step 3: Cross multiply
    323,427.20x = 485,140.80 × 289,212.80
  4. Step 4: Simplify right side
    323,427.20x = 140,308,929,162.24
  5. Step 5: Solve for x
    x = 140,308,929,162.24/323,427.20
  6. Step 6: Final answer
    x = 433,819.20

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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.