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Finding the Fourth Proportional to 309,149.53, 463,720.61 and 174,223.78

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Solution

The fourth proportional to 309,149.53, 463,720.61 and 174,223.78 is: 261,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,149.53 : 463,720.61 = 174,223.78 : x
  2. Step 2: Convert to fraction form
    309,149.53/463,720.61 = 174,223.78/x
  3. Step 3: Cross multiply
    309,149.53x = 463,720.61 × 174,223.78
  4. Step 4: Simplify right side
    309,149.53x = 80,791,156,814.36
  5. Step 5: Solve for x
    x = 80,791,156,814.36/309,149.53
  6. Step 6: Final answer
    x = 261,333.59

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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.