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Finding the Fourth Proportional to 328,965.30, 493,644.81 and 302,196.42

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Solution

The fourth proportional to 328,965.30, 493,644.81 and 302,196.42 is: 453,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,965.30 : 493,644.81 = 302,196.42 : x
  2. Step 2: Convert to fraction form
    328,965.30/493,644.81 = 302,196.42/x
  3. Step 3: Cross multiply
    328,965.30x = 493,644.81 × 302,196.42
  4. Step 4: Simplify right side
    328,965.30x = 149,177,694,333.58
  5. Step 5: Solve for x
    x = 149,177,694,333.58/328,965.30
  6. Step 6: Final answer
    x = 453,475.47

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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.