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Finding the Fourth Proportional to 547,830, 756,040.56 and 306,113.28

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Solution

The fourth proportional to 547,830, 756,040.56 and 306,113.28 is: 422,455.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,830 : 756,040.56 = 306,113.28 : x
  2. Step 2: Convert to fraction form
    547,830/756,040.56 = 306,113.28/x
  3. Step 3: Cross multiply
    547,830x = 756,040.56 × 306,113.28
  4. Step 4: Simplify right side
    547,830x = 231,434,055,634.64
  5. Step 5: Solve for x
    x = 231,434,055,634.64/547,830
  6. Step 6: Final answer
    x = 422,455.97

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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.