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Finding the Fourth Proportional to 329,060.47, 493,228.43 and 215,161.31

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Solution

The fourth proportional to 329,060.47, 493,228.43 and 215,161.31 is: 322,505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,060.47 : 493,228.43 = 215,161.31 : x
  2. Step 2: Convert to fraction form
    329,060.47/493,228.43 = 215,161.31/x
  3. Step 3: Cross multiply
    329,060.47x = 493,228.43 × 215,161.31
  4. Step 4: Simplify right side
    329,060.47x = 106,123,673,199.80
  5. Step 5: Solve for x
    x = 106,123,673,199.80/329,060.47
  6. Step 6: Final answer
    x = 322,505.08

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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.