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Finding the Fourth Proportional to 547,583.12, 755,642.04 and 305,864.56

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Solution

The fourth proportional to 547,583.12, 755,642.04 and 305,864.56 is: 422,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,583.12 : 755,642.04 = 305,864.56 : x
  2. Step 2: Convert to fraction form
    547,583.12/755,642.04 = 305,864.56/x
  3. Step 3: Cross multiply
    547,583.12x = 755,642.04 × 305,864.56
  4. Step 4: Simplify right side
    547,583.12x = 231,124,120,082.10
  5. Step 5: Solve for x
    x = 231,124,120,082.10/547,583.12
  6. Step 6: Final answer
    x = 422,080.43

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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.