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Finding the Fourth Proportional to 328,906.80, 493,214.40 and 151,468.20

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Solution

The fourth proportional to 328,906.80, 493,214.40 and 151,468.20 is: 227,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,906.80 : 493,214.40 = 151,468.20 : x
  2. Step 2: Convert to fraction form
    328,906.80/493,214.40 = 151,468.20/x
  3. Step 3: Cross multiply
    328,906.80x = 493,214.40 × 151,468.20
  4. Step 4: Simplify right side
    328,906.80x = 74,706,297,382.08
  5. Step 5: Solve for x
    x = 74,706,297,382.08/328,906.80
  6. Step 6: Final answer
    x = 227,135.16

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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.