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Finding the Fourth Proportional to 231,496.80, 347,828.40 and 147,297.30

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Solution

The fourth proportional to 231,496.80, 347,828.40 and 147,297.30 is: 221,317.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,496.80 : 347,828.40 = 147,297.30 : x
  2. Step 2: Convert to fraction form
    231,496.80/347,828.40 = 147,297.30/x
  3. Step 3: Cross multiply
    231,496.80x = 347,828.40 × 147,297.30
  4. Step 4: Simplify right side
    231,496.80x = 51,234,184,183.32
  5. Step 5: Solve for x
    x = 51,234,184,183.32/231,496.80
  6. Step 6: Final answer
    x = 221,317.03

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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.