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Finding the Fourth Proportional to 321,509.05, 443,687.02 and 176,327.48

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Solution

The fourth proportional to 321,509.05, 443,687.02 and 176,327.48 is: 243,334.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,509.05 : 443,687.02 = 176,327.48 : x
  2. Step 2: Convert to fraction form
    321,509.05/443,687.02 = 176,327.48/x
  3. Step 3: Cross multiply
    321,509.05x = 443,687.02 × 176,327.48
  4. Step 4: Simplify right side
    321,509.05x = 78,234,214,813.71
  5. Step 5: Solve for x
    x = 78,234,214,813.71/321,509.05
  6. Step 6: Final answer
    x = 243,334.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.