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Finding the Fourth Proportional to 230,266, 345,383.16 and 141,533.20

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Solution

The fourth proportional to 230,266, 345,383.16 and 141,533.20 is: 212,290.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,266 : 345,383.16 = 141,533.20 : x
  2. Step 2: Convert to fraction form
    230,266/345,383.16 = 141,533.20/x
  3. Step 3: Cross multiply
    230,266x = 345,383.16 × 141,533.20
  4. Step 4: Simplify right side
    230,266x = 48,883,183,860.91
  5. Step 5: Solve for x
    x = 48,883,183,860.91/230,266
  6. Step 6: Final answer
    x = 212,290.06

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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.