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Finding the Fourth Proportional to 309,000.60, 463,241.70 and 161,256.60

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Solution

The fourth proportional to 309,000.60, 463,241.70 and 161,256.60 is: 241,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,000.60 : 463,241.70 = 161,256.60 : x
  2. Step 2: Convert to fraction form
    309,000.60/463,241.70 = 161,256.60/x
  3. Step 3: Cross multiply
    309,000.60x = 463,241.70 × 161,256.60
  4. Step 4: Simplify right side
    309,000.60x = 74,700,781,520.22
  5. Step 5: Solve for x
    x = 74,700,781,520.22/309,000.60
  6. Step 6: Final answer
    x = 241,749.63

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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.