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Finding the Fourth Proportional to 313,515.72, 470,153.24 and 133,487.01

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Solution

The fourth proportional to 313,515.72, 470,153.24 and 133,487.01 is: 200,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,515.72 : 470,153.24 = 133,487.01 : x
  2. Step 2: Convert to fraction form
    313,515.72/470,153.24 = 133,487.01/x
  3. Step 3: Cross multiply
    313,515.72x = 470,153.24 × 133,487.01
  4. Step 4: Simplify right side
    313,515.72x = 62,759,350,249.41
  5. Step 5: Solve for x
    x = 62,759,350,249.41/313,515.72
  6. Step 6: Final answer
    x = 200,179.28

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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.