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Finding the Fourth Proportional to 547,069.48, 754,993.92 and 305,399.23

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Solution

The fourth proportional to 547,069.48, 754,993.92 and 305,399.23 is: 421,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,069.48 : 754,993.92 = 305,399.23 : x
  2. Step 2: Convert to fraction form
    547,069.48/754,993.92 = 305,399.23/x
  3. Step 3: Cross multiply
    547,069.48x = 754,993.92 × 305,399.23
  4. Step 4: Simplify right side
    547,069.48x = 230,574,561,822.68
  5. Step 5: Solve for x
    x = 230,574,561,822.68/547,069.48
  6. Step 6: Final answer
    x = 421,472.17

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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.