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Finding the Fourth Proportional to 409,114.80, 613,963.80 and 231,433.20

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Solution

The fourth proportional to 409,114.80, 613,963.80 and 231,433.20 is: 347,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,114.80 : 613,963.80 = 231,433.20 : x
  2. Step 2: Convert to fraction form
    409,114.80/613,963.80 = 231,433.20/x
  3. Step 3: Cross multiply
    409,114.80x = 613,963.80 × 231,433.20
  4. Step 4: Simplify right side
    409,114.80x = 142,091,606,918.16
  5. Step 5: Solve for x
    x = 142,091,606,918.16/409,114.80
  6. Step 6: Final answer
    x = 347,314.76

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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.