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Finding the Fourth Proportional to 547,831, 756,041.94 and 306,114.28

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Solution

The fourth proportional to 547,831, 756,041.94 and 306,114.28 is: 422,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,831 : 756,041.94 = 306,114.28 : x
  2. Step 2: Convert to fraction form
    547,831/756,041.94 = 306,114.28/x
  3. Step 3: Cross multiply
    547,831x = 756,041.94 × 306,114.28
  4. Step 4: Simplify right side
    547,831x = 231,435,234,112.90
  5. Step 5: Solve for x
    x = 231,435,234,112.90/547,831
  6. Step 6: Final answer
    x = 422,457.35

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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.