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Finding the Fourth Proportional to 331,665.40, 497,400.90 and 154,129.60

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Solution

The fourth proportional to 331,665.40, 497,400.90 and 154,129.60 is: 231,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,665.40 : 497,400.90 = 154,129.60 : x
  2. Step 2: Convert to fraction form
    331,665.40/497,400.90 = 154,129.60/x
  3. Step 3: Cross multiply
    331,665.40x = 497,400.90 × 154,129.60
  4. Step 4: Simplify right side
    331,665.40x = 76,664,201,756.64
  5. Step 5: Solve for x
    x = 76,664,201,756.64/331,665.40
  6. Step 6: Final answer
    x = 231,149.23

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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.