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Finding the Fourth Proportional to 328,991.60, 493,487.40 and 323,742.80

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Solution

The fourth proportional to 328,991.60, 493,487.40 and 323,742.80 is: 485,614.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,991.60 : 493,487.40 = 323,742.80 : x
  2. Step 2: Convert to fraction form
    328,991.60/493,487.40 = 323,742.80/x
  3. Step 3: Cross multiply
    328,991.60x = 493,487.40 × 323,742.80
  4. Step 4: Simplify right side
    328,991.60x = 159,762,992,640.72
  5. Step 5: Solve for x
    x = 159,762,992,640.72/328,991.60
  6. Step 6: Final answer
    x = 485,614.20

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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.