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Finding the Fourth Proportional to 329,221.47, 493,720.41 and 92,509.11

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Solution

The fourth proportional to 329,221.47, 493,720.41 and 92,509.11 is: 138,732.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,221.47 : 493,720.41 = 92,509.11 : x
  2. Step 2: Convert to fraction form
    329,221.47/493,720.41 = 92,509.11/x
  3. Step 3: Cross multiply
    329,221.47x = 493,720.41 × 92,509.11
  4. Step 4: Simplify right side
    329,221.47x = 45,673,635,717.94
  5. Step 5: Solve for x
    x = 45,673,635,717.94/329,221.47
  6. Step 6: Final answer
    x = 138,732.25

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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.