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Finding the Fourth Proportional to 309,469.70, 464,154.72 and 84,777.60

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Solution

The fourth proportional to 309,469.70, 464,154.72 and 84,777.60 is: 127,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,469.70 : 464,154.72 = 84,777.60 : x
  2. Step 2: Convert to fraction form
    309,469.70/464,154.72 = 84,777.60/x
  3. Step 3: Cross multiply
    309,469.70x = 464,154.72 × 84,777.60
  4. Step 4: Simplify right side
    309,469.70x = 39,349,923,190.27
  5. Step 5: Solve for x
    x = 39,349,923,190.27/309,469.70
  6. Step 6: Final answer
    x = 127,152.75

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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.