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Finding the Fourth Proportional to 409,872, 565,623.36 and 231,024

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Solution

The fourth proportional to 409,872, 565,623.36 and 231,024 is: 318,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,872 : 565,623.36 = 231,024 : x
  2. Step 2: Convert to fraction form
    409,872/565,623.36 = 231,024/x
  3. Step 3: Cross multiply
    409,872x = 565,623.36 × 231,024
  4. Step 4: Simplify right side
    409,872x = 130,672,571,120.64
  5. Step 5: Solve for x
    x = 130,672,571,120.64/409,872
  6. Step 6: Final answer
    x = 318,813.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.