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Finding the Fourth Proportional to 547,684.80, 755,795.52 and 305,952

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Solution

The fourth proportional to 547,684.80, 755,795.52 and 305,952 is: 422,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,684.80 : 755,795.52 = 305,952 : x
  2. Step 2: Convert to fraction form
    547,684.80/755,795.52 = 305,952/x
  3. Step 3: Cross multiply
    547,684.80x = 755,795.52 × 305,952
  4. Step 4: Simplify right side
    547,684.80x = 231,237,150,935.04
  5. Step 5: Solve for x
    x = 231,237,150,935.04/547,684.80
  6. Step 6: Final answer
    x = 422,208.45

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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.