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Finding the Fourth Proportional to 499,299.48, 748,575 and 162,138.60

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Solution

The fourth proportional to 499,299.48, 748,575 and 162,138.60 is: 243,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,299.48 : 748,575 = 162,138.60 : x
  2. Step 2: Convert to fraction form
    499,299.48/748,575 = 162,138.60/x
  3. Step 3: Cross multiply
    499,299.48x = 748,575 × 162,138.60
  4. Step 4: Simplify right side
    499,299.48x = 121,372,902,495
  5. Step 5: Solve for x
    x = 121,372,902,495/499,299.48
  6. Step 6: Final answer
    x = 243,086.38

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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.